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Chapter 12: Q. 294 (page 1219)

In the following exercises, find the sum.

鈭�i=187(3)i

Short Answer

Expert verified

The sum is68880

Step by step solution

01

Step 1. Given information

The given summation notation is鈭�i=187(3)i

02

Step 2. Expand the summation notation.

鈭�i=187(3)i=7(3)1+7(3)2+7(3)3+...+7(3)8=21+63+189+...+45927

Now this sequence is in G.P. with common ratio=3.

03

Step 3. Find the sum.

Sn=a1(1-rn)1-r

a1=21r=3n=8

So the sum is

S8=21(1-38)1-3S8=21(1-38)-2S8=68880S8=

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