Series and Progressions

Jai Ganesh · 2020-02-29 23:14:53

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.

Jai Ganesh · 2020-04-01 01:29:08

Hi,

SP#606. Show that

form an Arithmetic Progression where is defined as . Also, find the sum of the first 15 terms.

666 bro · 2020-04-22 16:05:46

a1, a2, a3 forms an A.P with d=4.
They are:
a1=7
a2= 11
a3=15
S15= 525.

Jai Ganesh · 2020-04-22 20:43:07

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.

Jai Ganesh · 2020-05-01 00:02:56

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.

Jai Ganesh · 2020-05-31 23:38:26

Hi,

SP # 609. Write the algebraic expression for the sum of the sequence.

666 bro · 2020-06-25 22:29:10

Sp#609: 2sₙ -n(2a+(n-1)d) =0

Jai Ganesh · 2020-06-25 23:55:18

SP # 610. Write arithmetic sequences with 100 as the sum of the first four terms.

666 bro · 2020-06-27 02:36:41

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.

Jai Ganesh · 2020-06-27 12:57:35

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?

666 bro · 2020-06-27 19:19:30

SP#611 (a) : sₙ = ( n^2) + (10/7)n.
(b) : no,

Last edited by 666 bro (2020-06-27 20:34:46)

Jai Ganesh · 2020-06-27 23:42:51

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.

666 bro · 2020-06-28 23:06:13

(a) : s₂₀ = 210.

(b) : s₂₀ = 1360.

Jai Ganesh · 2020-06-30 14:17:32

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.

666 bro · 2020-06-30 23:03:12

Sp#613: a= 4 & d=6.

Jai Ganesh · 2020-07-01 03:08:47

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?

Jai Ganesh · 2020-07-12 21:28:40

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.

Jai Ganesh · 2020-07-31 23:49:00

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, ....?

Jai Ganesh · 2020-09-01 01:18:30

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.

Jai Ganesh · 2020-09-30 18:05:27

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, .....

Jai Ganesh · 2020-10-31 23:14:51

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.

Jai Ganesh · 2020-11-30 23:11:50

Hi,

SP # 620. Find the sum of all three digit numbers which are a multiple of 7.

Denominator · 2020-12-01 12:14:33

Hello,

Last edited by Denominator (2020-12-01 12:14:45)

Jai Ganesh · 2020-12-01 14:40:47

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?

Jai Ganesh · 2021-01-01 15:34:02

Hi,

SP # 622. The sum of n terms of an arithmetic sequence is

Find the common difference and the algebraic form of this sequence.

Math Is Fun Forum

#1076 2020-02-29 23:14:53

Re: Series and Progressions

#1077 2020-04-01 01:29:08

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#1078 2020-04-22 16:05:46

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#1079 2020-04-22 20:43:07

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#1080 2020-05-01 00:02:56

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#1081 2020-05-31 23:38:26

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#1082 2020-06-25 22:29:10

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#1083 2020-06-25 23:55:18

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#1084 2020-06-27 02:36:41

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#1085 2020-06-27 12:57:35

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#1086 2020-06-27 19:19:30

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#1087 2020-06-27 23:42:51

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#1088 2020-06-28 23:06:13

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#1089 2020-06-30 14:17:32

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#1090 2020-06-30 23:03:12

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#1091 2020-07-01 03:08:47

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#1092 2020-07-12 21:28:40

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#1093 2020-07-31 23:49:00

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#1094 2020-09-01 01:18:30

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#1095 2020-09-30 18:05:27

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#1096 2020-10-31 23:14:51

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#1097 2020-11-30 23:11:50

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#1098 2020-12-01 12:14:33

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#1099 2020-12-01 14:40:47

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