Math

Does the following infinite geometric series diverge or converge? Explain.

3 + 9 + 27 + 81 + . . .

A) It diverges; it does not have a sum.
B) It converges; it has a sum.***
C) It diverges; it has a sum.
D) It converges; it does not have a sum.

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  1. the terms are getting larger
    ... diverging

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  2. So if the terms get larger it's called diverging and if they get smaller it's converging.

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  3. Also, what does it mean to have a sum. Wouldn't you be able to add and series of numbers regardless of them being divergent or convergent?

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