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Chapter 7: Q. 4 (page 591)

What is a term of a sequence?

Short Answer

Expert verified

Each number in the sequence is called a term.

Step by step solution

01

Step1. Given Information

Consider the sequence.

The objective is to explain the term of sequence.

If k is the index of the sequence {ak}where k is a positive integer, the outputak is the term of the sequence.

02

Step2. Explanation

Let akbe the sequence defined as (−1)kkk=0∞.

The term of the sequence can be found by substituting k=0,1,2,..

03

Sep3. Given Information

Therefore, a0=0,a1=−1,a2=2,a3=−3,…

Hence, the terms of the sequence are{0,−1,2,−3,…}.

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Most popular questions from this chapter

Determine whether the series ∑k=0∞2k+25k-1converges or diverges. Give the sum of the convergent series.

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