Find a Formula for the Sum of the N Terms $$\frac { 1 } { 2 } , \frac { 5 } { 4 } , \frac { 25 } { 8 } , \frac { 125 } { 16 } , \ldots$$

question 30

Multiple Choice

Find a formula for the sum of the n terms of the sequence. $$\frac { 1 } { 2 } , \frac { 5 } { 4 } , \frac { 25 } { 8 } , \frac { 125 } { 16 } , \ldots$$

• A) \(\frac { 5 \left( 5 ^ { n } - 2 ^ { n } \right) } { 3 \left( 2 ^ { n } \right) }\)
• B)​ \(\frac { 5 ^ { n - 1 } } { 2 }\)
• C) \(\frac { 5 ^ { n } + 2 ^ { n } } { 7 \left( 2 ^ { n } \right) }\)
• D) \(\frac { 1 } { 2 ^ { n } }\)
• E) \(\frac { 5 ^ { n } - 2 ^ { n } } { 3 \left( 2 ^ { n } \right) }\)

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Definitions:

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is a form of psychotherapy that helps individuals identify and challenge irrational beliefs to change their emotional and behavioral responses.

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A medical intervention that involves operating on the brain to treat psychological disorders.

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