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Chapter 12: Q 32. (page 825)

In Problems 31鈥�38, find the nth term anof each geometric sequence. When given, r is the common ratio.

5,10,20,40,...

Short Answer

Expert verified

The common ratio is r=2and the nth term of the geometric sequence isan=5(2)n-1

Step by step solution

01

Step 1. Write the given information.

The given geometric sequence is5,10,20,40,...

02

Step 2. Find the common ratio.

a1=5,a2=10,a3=20a2a1=105=2a3a2=2010=2r=2

03

Step 3. Find the nth term.

The formula for nth term is an=a1+rn-1

an=5路2n-1

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Most popular questions from this chapter

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

1,-2,3,-4,5,-6,...

In Problems 71-82, find the sum of each sequence.

鈭�k3k=520

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

a1=A;an=an-1+d

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

a1=5;an=2an-1

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

dn=(-1)n-1n2n-1
See all solutions

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