Does the infinite geometric series diverge or converge? Explain.

2 + 6 + 18 + 54 + ...

A. It diverges; it does not have a sum.

B. It converges; it does not have a sum.

C. It diverges; it has a sum.

D. It converges; it has a sum.

Question

Mathematics

Alexzander Herman

21 November, 17:24

Does the infinite geometric series diverge or converge? Explain.

2 + 6 + 18 + 54 + ...

A. It diverges; it does not have a sum.

B. It converges; it does not have a sum.

C. It diverges; it has a sum.

D. It converges; it has a sum.

+5

Answers (1)

Know the Answer?

Vaughn Lozano · Answer 1

A. It diverges; it does not have a sum

Step-by-step explanation:

a geometric series converges if and only if

the common ratio, r, is such that |r| < 1, and

diverges if |r|>=1.

Does the infinite geometric series diverge or converge? Explain.2 + 6 + 18 + 54 + ...A. It diverges; it does not have a sum.B. It converges; it does not have a sum.C. It diverges; it has a sum.D. It converges; it has a sum.

Does the infinite geometric series diverge or converge? Explain.

2 + 6 + 18 + 54 + ...

A. It diverges; it does not have a sum.

B. It converges; it does not have a sum.

C. It diverges; it has a sum.

D. It converges; it has a sum.