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alina1380 [7]
3 years ago
14

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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