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Find the Sum, If It Exists, of the Terms of the Infinite

Question 19

Multiple Choice

Find the sum, if it exists, of the terms of the infinite geometric sequence.
- i=1(2) (13) i\sum_{\mathrm{i}=1}^{\infty}(2) \left(\frac{1}{3}\right) ^{\mathrm{i}}


A) 32\frac{3}{2}
B) 2
C) 1
D) Does not exist

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