Find the Sum of the Convergent Series $\sum _ { n = 0 } ^ { \infty } \left( \frac { 1 } { 6 ^ { n } } - \frac { 1 } { 7 ^ { n } } \right)$

question 164

Multiple Choice

Find the sum of the convergent series
$\sum _ { n = 0 } ^ { \infty } \left( \frac { 1 } { 6 ^ { n } } - \frac { 1 } { 7 ^ { n } } \right)$

• A) \(\frac { 1 } { 7 }\)
• B) \(\frac { 1 } { 30 }\)
• C) \(\frac { 1 } { 37 }\)
• D) \(\frac { 1 } { 60 }\)
• E) \(\frac { 1 } { 14 }\)

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