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Chapter 12: Q 3. (page 824)

If a series does not converge, it is called a ________.

Short Answer

Expert verified

If a series does not converge, it is called adivergent series .

Step by step solution

01

Step 1. Given information.

If a series does not converge, it is called a______.

  • A sequence is an arrangement of any objects or a set of numbers in a particular order followed by some rule.
  • a divergent series isan infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a finite limit.
02

Step 2. Fill in the blanks.

If a series does not converge, it is called a divergent series .

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Most popular questions from this chapter

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

cn=-1n+1n2

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

9+12+16+643+....

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

∑k=1405

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

1+13+19+.....

In Problems 61–70, express each sum using summation notation.

1-13+19-127+......+-16136
See all solutions

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