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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

49-52 ■ Partial Sums of a Geometric Sequence Find the partial sum S n of the geometric sequence that satisfies the given conditions.

a = 2 3 , r = 1 3 , n = 4

To determine

The partial sum of the geometric sequence.

Explanation

Approach:

The partial sum of a geometric sequence is given as,

Sn=a1rn1r ……(1)

Here, Sn is the partial sum of nth term of the geometric sequence, n is the number of terms, a is the first term of the sequence and r is the common ratio of the sequence.

Given:

The condition for geometric sequence is given as,

a=23, r=13, n=4

Calculation:

Calculate the partial sum of geometric sequence.

Substitute 23 for a, 13 for r and 4 for n in equation (1) to calculate the partial sum of the sequence.

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