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Moderate

Difference Of Sums

APCALC-VGYWBK

Find the value of the sum:

$$\sum _{ n=0 }^{ \infty }\left({ \cfrac { 1 }{ { 3 }^{ n } } } -\cfrac { 1 }{ { 2 }^{ n } } \right)$$

A

$1$

B

$\cfrac{1}{3}$

C

$-\cfrac{1}{6}$

D

$-\cfrac{1}{2}$