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Chapter 12: Q. 287 (page 1219)

In the following exercises, find the indicated term of a sequence where the first term and the common ratio is given.

Finda9whena1=6,r=2.

Short Answer

Expert verified

The ninth term of the sequence is1536.

Step by step solution

01

Step 1. Given and explanation.

We have the first term as 6and the common ratio as 2.

We know that the general term of a geometric sequence is an=a1rn-1, wherea1,r are the first term and the ratio respectively.
Applying this formula will give us the required term.

02

Step 2. Finding ninth term.

We know thata1=6 and
r=2. Substituting this value in the formula gives us,

localid="1645348106946" an=a1脳(r)n-1a9=6脳(2)9-1a9=6脳(2)8a9=6脳256a9=1536
Thus we get the ninth term as 1536.

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Most popular questions from this chapter

In the following exercises, find the indicated term of a sequence where the first term and the common ratio is given.

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