Find a Geometric Power Series for the Function $\frac { 1 } { 7 - x } \text { centered at } 0 \text {. }$

question 176

Multiple Choice

Find a geometric power series for the function $\frac { 1 } { 7 - x } \text { centered at } 0 \text {. }$

• A)
• \(\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n } } { 7 ^ { n } + 1 }\)
• B)
• \(\sum _ { n = 0 } ^ { \infty } \left( \frac { x } { 7 } \right) ^ { n } + 1\)
• C)
• \(\sum _ { n = 0 } ^ { \infty } \left( \frac { x } { 7 } \right) ^ { n }\)
• D)
• \(\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n } } { 7 ^ { n + 1 } }\)
• E)
• \(\sum _ { n = 0 } ^ { \infty } \left( \frac { x } { 7 } \right) ^ { n + 1 }\)

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