Find a formula for the sum of the n terms of the sequence. $\frac { 1 } { 5 } , \frac { 3 } { 25 } , \frac { 9 } { 125 } , \frac { 27 } { 625 } , \mathbf { K }$
A) $- \frac { 3 ^ { n } - 5 ^ { n } } { 2 \left( 5 ^ { n } \right) }$
B) $- \frac { 3 \left( 3 ^ { n } - 5 ^ { n } \right) } { 2 \left( 5 ^ { n } \right) }$
C) $\frac { 3 ^ { n - 1 } } { 5 ^ { n } }$
D) $\frac { 3 ^ { n } + 5 ^ { n } } { 8 ( 5 ) ^ { n } }$
E) $\frac { 1 } { 5 ^ { n } }$

Question

Quizplus · Accepted Answer

The correct answer is A because the sum of the n terms of the sequence is given by the formula $- \frac { 3 ^ { n } - 5 ^ { n } } { 2 \left( 5 ^ { n } \right) }$.

Find a Formula for the Sum of the N Terms 15,325,9125,27625,K\frac { 1 } { 5 } , \frac { 3 } { 25 } , \frac { 9 } { 125 } , \frac { 27 } { 625 } , \mathbf { K }51​,253​,1259​,62527​,K

Find a Formula for the Sum of the N Terms $\frac { 1 } { 5 } , \frac { 3 } { 25 } , \frac { 9 } { 125 } , \frac { 27 } { 625 } , \mathbf { K }$