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Nadusha1986 [10]
3 years ago
6

Find the 8th term of the geometric sequence 2, -10, 50, ...

Mathematics
1 answer:
marusya05 [52]3 years ago
4 0

Answer:

-156250

Step-by-step explanation:

The pattern is multiplying by -5.

2, -10, 50, -250, 1250, -6250, 31250, -156250

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Step-by-step explanation:

given \: expression \\  \frac{5}{8}x =  \frac{1}{2} x + 2 \\ substract \: \frac{1}{2} x from \: both \: sides \\ \frac{5}{8}x  - \frac{1}{2} x = \frac{1}{2} x  - \frac{1}{2} x  + 2 - \frac{1}{2} x  \\ factor \: out \: common \: x \\ x( \frac{5}{8}  -  \frac{1}{2} ) =  \frac{1}{8}  \\ simplify \\ \frac{1}{2} x  + 2 - \frac{1}{2} x \:  \frac{1}{2} x -  \frac{1}{2} x = 0 = 2 \\  \frac{1}{8} x = 2 \\ multiply \: both \: sides \: by \: 8 \\ 8. \frac{1}{8} x = 2.8 \\ simplify \\ x = 16.

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1 year ago
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