Give the first five terms of the geometric sequence $\left\{ c r ^ { k } \right\} _ { k = 0 } ^ { \infty }$ with c = 5, and r = $1 / 2$
A) $\left\{ \frac { 5 } { 4 } , \frac { 5 } { 6 } , \frac { 5 } { 8 } , \frac { 1 } { 2 } , \frac { 5 } { 12 } , \ldots \right\}$
B) $\left\{ 5 , \frac { 5 } { 2 } , \frac { 5 } { 4 } , \frac { 5 } { 8 } , \frac { 5 } { 16 } , \ldots \right\}$
C) $\left\{ 5 , \frac { 5 } { 4 } , \frac { 5 } { 8 } , \frac { 5 } { 16 } , \frac { 5 } { 32 } , \ldots \right\}$
D) none of these

Question

Quizplus · Accepted Answer

The first term is $c = 5$, and each subsequent term is obtained by multiplying the previous term by $r = \frac{1}{2}$, leading to the sequence $5, \frac{5}{2}, \frac{5}{4}, \frac{5}{8}, \frac{5}{16}, \ldots$.

Give the First Five Terms of the Geometric Sequence {crk}k=0∞\left\{ c r ^ { k } \right\} _ { k = 0 } ^ { \infty }{crk}k=0∞​

Give the First Five Terms of the Geometric Sequence $\left\{ c r ^ { k } \right\} _ { k = 0 } ^ { \infty }$