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Chapter 12: Q 12.47 (page 1189)

Find the ninth term of the sequence 6,18,54,162,486,1,458,鈥�.Then find the general term for the sequence.

Short Answer

Expert verified

The ninth term is and the general term are equal to39366,63n-1respectively.

Step by step solution

01

Step 1. Given information

Sequence is6,18,54,162,486,1,458,...

02

Step 2. Find the ninth term of the sequence.

Consider the sequence:

6,18,54,162,486,1,458,...

Let a,rdenote the first term and the common ratio respectively.

a=6r=186=3

an=arn-1a9=639-1=638=39366

03

Step 3, Find the general term of the sequence.

Put a=6,r=3in the formulaan=arn-1.

So,

an=63n-1

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