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aggressivenoob
@aggressivenoob
July 2022
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a1, a2, a3 арифметическая прогрессия
a1+a2+a3=21
a1 - 1, a2 - 3, a3 - 3 геометрическая прогрессиия
a1-? a2-? a3-?
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katrusya777
Ответ
а1=3
а2=7
а3=11
Арифметическая аn=a1+(n-1)d
a2=a1+d
a3=a1+2d
a1+a1+d+a1+2d=21
3a1+3d=21
3(a1+d)=21
a1+d=7
a2=7
Сумма n первых членов геометрической прогрессии
Sn=
=21-1-3-3=14
bn = b1 · q^(n-1)
b2=a2-3=4
b1*q=4
q=2
b1=2
(a1-1)q=4
a1=3
d=7-3=4
a2=3+4=7
a3=3+8=11
Проверка
а1+а2+а3=3+7+11=21
b1=2
b2=4
b3=8
3 votes
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Answers & Comments
а1=3
а2=7
а3=11
Арифметическая аn=a1+(n-1)d
a2=a1+d
a3=a1+2d
a1+a1+d+a1+2d=21
3a1+3d=21
3(a1+d)=21
a1+d=7
a2=7
Сумма n первых членов геометрической прогрессии
Sn=
=21-1-3-3=14
bn = b1 · q^(n-1)
b2=a2-3=4
b1*q=4
q=2
b1=2
(a1-1)q=4
a1=3
d=7-3=4
a2=3+4=7
a3=3+8=11
Проверка
а1+а2+а3=3+7+11=21
b1=2
b2=4
b3=8