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Durak2000
@Durak2000
July 2022
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Найдите седьмой член геометрической прогрессии (bn), если b5=8 и b9=8/81
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Egnos
B5=8
b9=8/81
b7 - ?
-----------------------------
bn=b1*q^(n-1)
b9=b5*q^(9-5)=b5*q^4 (81=3^4)
8/3^4 =8*q^4 ---> q=1/3 или q=-1/3
b7=b5*q²=8/9
ответ b7=8/9
0 votes
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ludmilagena
Verified answer
esli b5=8 b9=8/81 ====> ispol.formula Bn=Bk*q^(n-k) snachala nado nayti. D=3 potom b9=b7*q^-2 ---> 8/81=b7*1/9= 72/81 otv 72/81
4 votes
Thanks 3
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Answers & Comments
b9=8/81
b7 - ?
-----------------------------
bn=b1*q^(n-1)
b9=b5*q^(9-5)=b5*q^4 (81=3^4)
8/3^4 =8*q^4 ---> q=1/3 или q=-1/3
b7=b5*q²=8/9
ответ b7=8/9
Verified answer
esli b5=8 b9=8/81 ====> ispol.formula Bn=Bk*q^(n-k) snachala nado nayti. D=3 potom b9=b7*q^-2 ---> 8/81=b7*1/9= 72/81 otv 72/81