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Which geometric series converges?
StartFraction 1 Over 81 EndFraction + StartFraction 1 Over 27 EndFraction + one-ninth + one-third + ellipsis
1 + one-half + one-fourth + one-eighth + ellipsis
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 7 (negative 4) Superscript n minus 1
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts one-fifth (2) Superscript n minus 1

Respuesta :

Answer: b) [tex]1+\frac{1}{2} +\frac{1}{4} +\frac{1}{8}+...[/tex]

Step-by-step explanation:

Converges means it gets smaller or the ratio has an absolute value of less than 1. The bottom 2 you can see that their ratios are greater than 1, and the top one you can see that it progressively gets bigger.

So option B is correct.

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