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July 2022
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Арифметическая прогрессия
а2+а5+а8=-6 найти а5
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ВикаВикторовна
Verified answer
А₂ = а₁+d(2-1) = a₁+d
a₅ = a₁+d(5-1) = a₁+4d
a₈ = a₁+d(8-1) = a₁+7d
a₁+d+a₁+4d+a₁+7d = -6
3a₁+12d = -6
3(a₁+4d) = -6
a₁+4d = -2
a₁ = -2-4d
a₅ = -2-4d+4d = -2
Ответ: а₅ = -2
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Answers & Comments
Verified answer
А₂ = а₁+d(2-1) = a₁+da₅ = a₁+d(5-1) = a₁+4d
a₈ = a₁+d(8-1) = a₁+7d
a₁+d+a₁+4d+a₁+7d = -6
3a₁+12d = -6
3(a₁+4d) = -6
a₁+4d = -2
a₁ = -2-4d
a₅ = -2-4d+4d = -2
Ответ: а₅ = -2