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nika1377
@nika1377
July 2022
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Число 512 є членом геометричної прогресії 8;16;32;...Знайдіть номер цьго числа.
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ShirokovP
Verified answer
B1 = 8
b2 = 16
q = b2/b1 = 16/8 = 2
bn = b1*q^(n - 1) = 512
8*2^(n - 1) = 512
2^(n - 1) = 64
2^n * 1/2 = 64
2^n = 128
2^n = 2^7
n = 7
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Answers & Comments
Verified answer
B1 = 8b2 = 16
q = b2/b1 = 16/8 = 2
bn = b1*q^(n - 1) = 512
8*2^(n - 1) = 512
2^(n - 1) = 64
2^n * 1/2 = 64
2^n = 128
2^n = 2^7
n = 7