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Chapter 12: Q 18. (page 824)

Find the fifth term and the nth term of the geometric sequence whose initial term a1and common ratio rare given.

a1=-2,r=4

Short Answer

Expert verified

The nthterm is -(2)2n-1and the fifth term is-512.

Step by step solution

01

Step 1. Given information. 

We have, a1=-2and r=4

The nthterm of a geometric sequence is determined by formulaan=a1rn-1.

02

Step 2. To find the fifth term and the nth term. 

Substitute a1=-2,r=4and n=5

an=-2脳4n-1an=-2脳(22)n-1 an=-21+2n-2an=-22n-1

and

a5=-2脳45-1a5=-2脳44a5=-512

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