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Ganezh [65]
2 years ago
13

512=-4(-2)^n-1 find n in geometric sequence

Mathematics
2 answers:
iragen [17]2 years ago
5 0

Answer:

n = 8

Step-by-step explanation:

Rearrange the equation to find n:

512/-4 = (-2)^{n-1}

-128 = (-2)^{n-1}

(-2)^{7} = -128

So, n-1 = 7

n = 8

pshichka [43]2 years ago
3 0

Answer:

n = 8

Step-by-step explanation:

512/-4 = -128

-2^? equals -128? Has to be odd since it's negative

-2^1 = -2

-2^3 = -8

-2^5 = -32

<u>-2^7 = -128</u>

But it's -2^n-1 = -128 so you have to add 1

7+1 = 8

So n=8

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