Answered

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For the arithmetic sequence beginning with the terms (11, 17, 23, 29, 35), what is the sum of
the first 17 terms?

a.) 1116
b.) 1003
c.) 1235
d.) 896

Sagot :

ashishdwivedilVT

Option B is the correct answer.

The sum of 17 terms of the given arithmetic sequence is 1003.

What is Arithmetic Sequence?

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

Here, given sequence :

  11, 17, 23, 29, 35, ......

first term a = 11

common difference d = 17 - 11 = 6

n = 17

Sₙ = n/2 {2a + (n-1)d}

S₁₇ = 17/2 { 2 X 11 + (17-1)X6}

S₁₇ = 17/2 { 22 + 16 X 6}

S₁₇ = 17/2 X 118

S₁₇ = 17 X 59

S₁₇ = 1003

Thus, the sum of 17 terms of the given arithmetic sequence is 1003.

Learn more about Arithmetic Sequence from:

https://brainly.com/question/15412619

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