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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.

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  1. 21 November, 20:51
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    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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