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KarinaMeoww
@KarinaMeoww
July 2022
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сколько положительных членов в арифметической прогрессии 87,4;82,8...
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Banabanana
Verified answer
A₁ = 87.4
a₂ = 82.8
d = a₂ - a₁ = 82.8 - 87.4 = -4.6
a₁ + d(n-1) > 0
87.4 - 4.6(n-1) > 0
87.4 - 4.6n + 4.6 > 0
-4.6n + 92 > 0
-4.6n > -92
4.6n < 92
n < 20
Ответ: 19 положительных членов
10 votes
Thanks 8
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Answers & Comments
Verified answer
A₁ = 87.4a₂ = 82.8
d = a₂ - a₁ = 82.8 - 87.4 = -4.6
a₁ + d(n-1) > 0
87.4 - 4.6(n-1) > 0
87.4 - 4.6n + 4.6 > 0
-4.6n + 92 > 0
-4.6n > -92
4.6n < 92
n < 20
Ответ: 19 положительных членов