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3^(2n+2)-8n-9 is divisible by...

`3^(2n+2)-8n-9` is divisible by

A

36

B

49

C

64

D

none

Text Solution

Verified by Experts

The correct Answer is:
c
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Using binomial theorem,prove that 3^(2n+2)-8^(n)-9 is divisible by 64, where n in N.

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Knowledge Check

  • If 3^(2n+2)-8n-k is divisible by 64 for all n in N , then the least integral value of k is

    A
    -9
    B
    1
    C
    9
    D
    6

  • 3^(2n)-8n-1 is divisible by

    A
    65
    B
    67
    C
    71
    D
    64

  • For all n in R 9^(n+1)-8n-9 is divisible by

    A
    64
    B
    63
    C
    62
    D
    65

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