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angelinapopova417
@angelinapopova417
July 2022
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найти первый член и знаменатель геометрической прогрессии:
1)b3=2 b5=8 2)b2+b3=7 b3+b4=49
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mikael2
Verified answer
1/ b3=b1*q²=2 b5=b1*q⁴=8 b5/b3=q²=4 q=2 q=-2
b1=2/q²=2/4=1/2
2/ b2+b3=b1*q+b1*q²=7 b1*q(1+q)=7 (1)
b3+b4=b1*q²+b1*q³=49 b1*q²(1+q)=49 (2)
делим (2) на (1) q=49/7=7
b1*7(1+7)=7 b1=1/8
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Answers & Comments
Verified answer
1/ b3=b1*q²=2 b5=b1*q⁴=8 b5/b3=q²=4 q=2 q=-2b1=2/q²=2/4=1/2
2/ b2+b3=b1*q+b1*q²=7 b1*q(1+q)=7 (1)
b3+b4=b1*q²+b1*q³=49 b1*q²(1+q)=49 (2)
делим (2) на (1) q=49/7=7
b1*7(1+7)=7 b1=1/8