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masya234
@masya234
July 2022
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Найдите знаменатель геометрической прогрессии для которой отношение суммы четвёртого и пятого членов прогрессии к сумме второго и третьего членов равно 1/4
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erzhan9210
Verified answer
(а4+а5)/(а2+а3)=1/4
(a1d³+a1d⁴)/(a1d+a1d²)=1/4
[a1d³(1+d)]/[a1d(1+d)]=1/4
d²=1/4
d=±1/2
22 votes
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Answers & Comments
Verified answer
(а4+а5)/(а2+а3)=1/4(a1d³+a1d⁴)/(a1d+a1d²)=1/4
[a1d³(1+d)]/[a1d(1+d)]=1/4
d²=1/4
d=±1/2