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3 years ago

Find s8 for the following geometric sequence: 3, –6, 12, –24.

Mathematics

2 answers:

kicyunya [14]3 years ago

5 0

Answer:

$S_{8}$ = $-255)$ .

Step-by-step explanation:

Given : geometric sequence: 3, –6, 12, –24.

To find : Find s8 for the following geometric .

Solution : We have given geometric sequence: 3, –6, 12, –24.

Where, first term = 3, common ration : $\frac{-6}{3}$ = -2.

Formula used : $a(\frac{1-r^{n}}{1-r} )$

Where, a = first term , r = common ratio.

$S_{8}$ = $3(\frac{1-(-2)^{8}}{1-(-2)} )$ .

$S_{8}$ = $3(\frac{1- 256}{1+2} )$ .

$S_{8}$ = $3(\frac{-255}{3} )$ .

$S_{8}$ = $3 * (85)$ .

$S_{8}$ = $-255)$ .

Therefore, $S_{8}$ = $-255)$ .

Lisa [10]3 years ago

4 0

Find s8 for the following geometric sequence: 3, –6, 12, –24. = –255

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