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mdbrother5
@mdbrother5
July 2022
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Последовательность аn задана формулой а1 = 2, аn = 3an-1 — 2 при n ≥ 2. Чему равно а8 — а7?
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kmike21
Verified answer
A₈=3a₇-2
a₈-a₇=3a₇-2-a₇=2a₇-2=2(a₇-1)
a₁=2
a₂=3a₁-2=3*2-2=6-2=4
a₃=3a₂-2=3*4-2=12-2=10
a₄=3a₃-2=3*10-2=30-2=28
a₅=3a₄-2=3*28-2=84-2=82
a₆=3a₅-2=3*82-2=246-2=244
a₇=3a₆-2=3*244-2=732-2=730
a₈-a₇=2(a₇-1)=2(730-1)=2*729=1458
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Answers & Comments
Verified answer
A₈=3a₇-2a₈-a₇=3a₇-2-a₇=2a₇-2=2(a₇-1)
a₁=2
a₂=3a₁-2=3*2-2=6-2=4
a₃=3a₂-2=3*4-2=12-2=10
a₄=3a₃-2=3*10-2=30-2=28
a₅=3a₄-2=3*28-2=84-2=82
a₆=3a₅-2=3*82-2=246-2=244
a₇=3a₆-2=3*244-2=732-2=730
a₈-a₇=2(a₇-1)=2(730-1)=2*729=1458