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leratarasova21
@leratarasova21
September 2021
1
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Найдите тридцатый член арифметической прогрессии -31; -28; -25…
Найдите седьмой член геометрической прогрессии -1; 3; -9…
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nKrynka
Решение
1)
-31; -28; -25…
an = a
₁ + d*(n - 1)
a₁ = - 31
a₂ = - 28
d = a₂ - a₁
d = - 28 - (- 31) = 3
a₃₀ = - 31 + 3*(30 - 1) = - 31 + 3*29 = 56
2)
-1; 3; -9…
b
₁ = - 1
b₂ = 3
q = b₂ / b₁
q = 3/(-1) = - 3
b₇ = b₁ * q⁶
b₇ = - 1 * (-3)⁶ = - 729
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Answers & Comments
1) -31; -28; -25…
an = a₁ + d*(n - 1)
a₁ = - 31
a₂ = - 28
d = a₂ - a₁
d = - 28 - (- 31) = 3
a₃₀ = - 31 + 3*(30 - 1) = - 31 + 3*29 = 56
2) -1; 3; -9…
b₁ = - 1
b₂ = 3
q = b₂ / b₁
q = 3/(-1) = - 3
b₇ = b₁ * q⁶
b₇ = - 1 * (-3)⁶ = - 729