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sxa
@sxa
August 2022
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40баллов!!!!!!!!!!
в геометрической прогрессии -1;2;-4;... найдите номер члена равного -256
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zinaidazina
B₁ = -1;
b₂=2
b₃=-4
bn = - 256
n - ?
1) q = b₂ : b₁
q = 2 : (-1)
q = - 2
2) bn = b₁·qⁿ⁻¹
- 256 = -1 · (-2)ⁿ⁻¹
256 = (-2)ⁿ⁻¹
(-2)⁸ = (-2)ⁿ⁻¹
8 = n - 1
n = 8+1
n = 9
Ответ:
девятый
член равен -256
1 votes
Thanks 1
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Answers & Comments
b₂=2
b₃=-4
bn = - 256
n - ?
1) q = b₂ : b₁
q = 2 : (-1)
q = - 2
2) bn = b₁·qⁿ⁻¹
- 256 = -1 · (-2)ⁿ⁻¹
256 = (-2)ⁿ⁻¹
(-2)⁸ = (-2)ⁿ⁻¹
8 = n - 1
n = 8+1
n = 9
Ответ: девятый член равен -256