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Chapter 12: Q. 337 (page 1222)

Find the sum of the first thirteen terms of the geometric sequence,2,-6,18,鈭�54,162,鈭�486鈥�

Short Answer

Expert verified

The required sum is S13=797162.

Step by step solution

01

Step 1. Given information.

Consider the given question,

2,-6,18,鈭�54,162,鈭�486鈥�

Common ratio,

-62=-3-5418=-3

Therefore, r=-3.

02

Step 2. Find the required term.

Sum of first nterms of geometric sequence,

Sn=a11-rn1-r

Substitute the values in equation (i),

Sn=2{1--313}1--3=1--3132=797162

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