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Goroshek007
@Goroshek007
July 2022
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Найдите сумму первого и пятого членов геометрической прогрессии, если сумма шести ее первых членов равна 1820, а знаменатель прогрессии равен 3.
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kmike21
Verified answer
S₆=(b₁(1-q⁶))/(1-q)=1820
q=3
отсюда
S₆=(b₁(1-3⁶))/(1-3)=1820
(b₁(1-729))/(-2)=1820
b₁=2*1820/728=5
b₅=5*3⁴=405
b₁+b₅=
5+405=410
4 votes
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Answers & Comments
Verified answer
S₆=(b₁(1-q⁶))/(1-q)=1820q=3
отсюда
S₆=(b₁(1-3⁶))/(1-3)=1820
(b₁(1-729))/(-2)=1820
b₁=2*1820/728=5
b₅=5*3⁴=405
b₁+b₅=5+405=410