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Chapter 12: Q 21. (page 824)

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

a1=0,r=12

Short Answer

Expert verified

Thenthterm isan=0and the fifth term isa5=0

Step by step solution

01

Step 1. Given information. 

We have, a1=0and r=12

Thenthterm of a geometric sequence is determined by formulaan=a1rn-1

02

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

Substitute a1=0,r=12and n=5

role="math" localid="1646986476506" an=0(12)n-1an=0

and

a5=0125-1a5=0124a5=0

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Most popular questions from this chapter

In Problems 37鈥�50, a sequence is defined recursively. Write down the first five terms.

a1=-1;a2=1;an=an-2+nan-1

In Problems 17鈥�28, write down the first five terms of each sequence.

Sn=2n3n+1

In Problems 29鈥�36, the given pattern continues. Write down the nth term of a sequence ansuggested by the pattern.

2,-4,6,-8,10,...

In Problems 51鈥�66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.

1+13+19+.....

In Problems 51鈥�60, write out each sum.

鈭�k=1nk+2
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