In G.P. 4, 8, 16, 32, … find the sum up to 5^ th term.

MCQ

In $G.P.\ 4, 8, 16, 32, …$ find the sum up to $5^{th}$ term.

A
$16$
B
$64$
C
$128$
✓
$124$

✓

Answer

Correct option: D.

$124$

In the given $\text{G.P.}$
$=4$ and $\text{r}=\frac{8}{4}=2.$
We know, $\text{s}_\text{n}=a\frac{\text({r}_\text{n}-1)}{\text({r}-1)} $
$\Rightarrow{\text{s}}_5$
$=4\frac{(2^5-1)}{(2-1)}$
$=4\times31$
$=124.$

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