Does the infinite geometric series diverge or converge? Explain. 2 + 6 + 18 + 54 + … A. It diverges; it does not have a s

Question

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.

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Alexandra 1 month 2021-09-15T12:57:06+00:00 1 Answer 0

Answers ( )

  1. Answer:

    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.

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