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Write down the sequence whose nth term i...

Write down the sequence whose nth term is `2^n//n` and (ii) `[3+(-1)^n]//3^n`

Text Solution

Verified by Experts

The correct Answer is:
(a) `(2)/(1), (4)/(2), (8)/(3), (16)/(4)...` (b) `(2)/(3), (4)/(9), (2)/(27), (4)/(81),...`
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Knowledge Check

  • Write the first five terms of the sequences in whose nth terms is : a_(n)=(-1)^(n-1).5^(n+1)

    A
    5 terms of given sequence are
    `a_(1)=25,a_(2)=-125,a_(3)=625,a_(4)=-3125,a_(5)=15625.`
    B
    5 terms of given sequence are
    `a_(1)=25,a_(2)=125,a_(3)=625,a_(4)=3125,a_(5)=15625.`
    C
    5 terms of given sequence are
    `a_(1)=-25,a_(2)=125,a_(3)=--625,a_(4)=3125,a_(5)=-15625.`
    D
    None of these

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