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#1076 2020-02-29 23:14:53
- Jai Ganesh
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Re: Series and Progressions
Hi,
SP#605. A sum of $700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is $20 less than its preceding prize, find the value of each of the prizes.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1077 2020-04-01 01:29:08
- Jai Ganesh
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Re: Series and Progressions
Hi,
SP#606. Show that
form an Arithmetic Progression where is defined as . Also, find the sum of the first 15 terms.It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1078 2020-04-22 16:05:46
- 666 bro
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- From: Flatland
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Re: Series and Progressions
a1, a2, a3 forms an A.P with d=4.
They are:
a1=7
a2= 11
a3=15
S15= 525.
"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan
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#1079 2020-04-22 20:43:07
- Jai Ganesh
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Re: Series and Progressions
Hi 666 bro,
Neat work!
SP # 607. Show that
form an Arithmetic Progression where is defined as Also, find the sum of the first 15 terms.It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1080 2020-05-01 00:02:56
- Jai Ganesh
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Re: Series and Progressions
Hi,
SP # 608. The sum of 15 terms of an Arithmetic Progression with common difference 6 is 780. Write the algebraic expression of the sequence.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1081 2020-05-31 23:38:26
- Jai Ganesh
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Re: Series and Progressions
Hi,
SP # 609. Write the algebraic expression for the sum of the sequence.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1082 2020-06-25 22:29:10
- 666 bro
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- From: Flatland
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- Posts: 706
Re: Series and Progressions
Sp#609: 2sₙ -n(2a+(n-1)d) =0
"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan
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#1083 2020-06-25 23:55:18
- Jai Ganesh
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Re: Series and Progressions
SP # 610. Write arithmetic sequences with 100 as the sum of the first four terms.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1084 2020-06-27 02:36:41
- 666 bro
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Re: Series and Progressions
Sp#610 the sequences are:
(1) : 10, 20, 30 , 40 where
a = 10 & d = 10.
(2) :25, 25, 25,25 where
a = 25 & d = 0.
"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan
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#1085 2020-06-27 12:57:35
- Jai Ganesh
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Re: Series and Progressions
Partially correct. Good attempt!
SP# 611. Consider an arithmetic sequence
.(a) Find the algebraic expression of the sequence.
(b) Is there any counting number in the sequence?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1086 2020-06-27 19:19:30
- 666 bro
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Re: Series and Progressions
SP#611 (a) : sₙ = ( n^2) + (10/7)n.
(b) : no,
Last edited by 666 bro (2020-06-27 20:34:46)
"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan
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#1087 2020-06-27 23:42:51
- Jai Ganesh
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Re: Series and Progressions
SP # 612. (a) What is the sum of first 20 natural numbers?
(b) The algebraic form of an arithmetic sequence is 6n + 5. Find the sum of the first 20 terms of this sequence.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1088 2020-06-28 23:06:13
- 666 bro
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Re: Series and Progressions
(a) : s₂₀ = 210.
(b) : s₂₀ = 1360.
"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan
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#1089 2020-06-30 14:17:32
- Jai Ganesh
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Re: Series and Progressions
Well done!
SP # 613. Sum of first n terms of an arithmetic sequence is 3n² + n. Find the first term and common difference of this sequence.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1090 2020-06-30 23:03:12
- 666 bro
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Re: Series and Progressions
Sp#613: a= 4 & d=6.
"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan
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#1091 2020-07-01 03:08:47
- Jai Ganesh
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Re: Series and Progressions
Good work!
SP # 614. (a) The fifth term of an arithmetic sequence is 40 and 10th term is 20. What is the 15th term?
(b) How many terms of this sequence make the sum zero?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1092 2020-07-12 21:28:40
- Jai Ganesh
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Re: Series and Progressions
Hi,
SP # 615. The sum of first ten terms of an arithmetic sequence is 350 and the sum of first five terms is 100. Write the algebraic expression for the sequence.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1093 2020-07-31 23:49:00
- Jai Ganesh
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Re: Series and Progressions
Hi,
SP # 616. What is the difference between the sum of the first 20 terms and the next 20 terms of the Arithmetic Progression 6, 10, 14, ....?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1094 2020-09-01 01:18:30
- Jai Ganesh
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Re: Series and Progressions
Hi,
SP # 617. The third term of an arithmetic sequence is 34 and its eighth term is 69.
(i) Find the common difference of this sequence.
(ii) Write the algebraic form of this sequence.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1095 2020-09-30 18:05:27
- Jai Ganesh
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Re: Series and Progressions
Hi,
SP # 618. Calculate the difference between the sum of the first 20 terms of the Arithmetic Progression 6, 10, 14, .... and 15, 19, 23, .....
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1096 2020-10-31 23:14:51
- Jai Ganesh
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Re: Series and Progressions
Hi,
SP # 619. Find the 13th term of an arithmetic sequence is 5 times the 5th term is equal to 8 times the 8th term.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1097 2020-11-30 23:11:50
- Jai Ganesh
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Re: Series and Progressions
Hi,
SP # 620. Find the sum of all three digit numbers which are a multiple of 7.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1098 2020-12-01 12:14:33
- Denominator
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Re: Series and Progressions
Hello,
Last edited by Denominator (2020-12-01 12:14:45)
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#1099 2020-12-01 14:40:47
- Jai Ganesh
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Re: Series and Progressions
Hi,
Excellent!
SP#621. The first term of an Arithmetic Progression is 6 and the sum of the first 6 terms is 66.
(a) What is the 6th term?
(b) What is the common difference of the Arithmetic Progression?
(c) What are the first 6 terms of this Arithmetic Progression?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#1100 2021-01-01 15:34:02
- Jai Ganesh
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- Registered: 2005-06-28
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Re: Series and Progressions
Hi,
SP # 622. The sum of n terms of an arithmetic sequence is
Find the common difference and the algebraic form of this sequence.It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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