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Chapter 12: Q 1. (page 824)

In a(n) ______sequence the ratio of successive terms is a constant.

Short Answer

Expert verified

In a geometricsequence the ratio of successive terms is a constant.

Step by step solution

01

Step 1. Given information.

We have given statement: In a(n) _____sequence the ratio of successive terms is a constant.

  • A sequence is an enumerated collection of objects in which repetitions are allowed and order matters .
  • A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
02

Step 2. Fill the blanks.

In a geometric sequence the ratio of successive terms is a constant.

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Most popular questions from this chapter

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

a1=1;an=n-an-1

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

∑k3k=424

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

an=nn+2

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

sn=43n

A(n) _______ is a function whose domain is the set of positive integers.
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