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vbulay92
@vbulay92
August 2022
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помогите с арифметической прогрессией
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nKrynka
Решение
S₁₄ = 105
a₄ = 88
a₄ = a₁ + d(n - 1)
Sn = {2a₁ + d(n - 1)] *n} / 2
Составим и решим систему уравнений:
a₁ + 3d = 88
(2a₁+ 13d)*14 = 2*105
a₁ + 3d = 88
2a₁+ 13d = 210/14
a₁ = 88 - 3d
2a₁+ 13d = 15
2*(88 - 3d) + 13d = 15
176 - 6d + 13d = 15
7d = - 161
d = - 23
Ответ:
d = - 23
1 votes
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Answers & Comments
S₁₄ = 105
a₄ = 88
a₄ = a₁ + d(n - 1)
Sn = {2a₁ + d(n - 1)] *n} / 2
Составим и решим систему уравнений:
a₁ + 3d = 88
(2a₁+ 13d)*14 = 2*105
a₁ + 3d = 88
2a₁+ 13d = 210/14
a₁ = 88 - 3d
2a₁+ 13d = 15
2*(88 - 3d) + 13d = 15
176 - 6d + 13d = 15
7d = - 161
d = - 23
Ответ: d = - 23