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For all n in N, 3.5^(2n+1)+ 2^(3n+1) is...

For all `n in N, 3.5^(2n+1)+ 2^(3n+1)` is divisble by-

A

19

B

17

C

23

D

25

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • For each n in N, 3.(5^(2n+1))+2^(3n+1) is divisible by

    A
    17
    B
    19
    C
    21
    D
    23

  • For all n inN,3*5^(2n+1)+2^(3n+1) is divisible by (A) 19 (B) 17 (C) 23 (D) 25

    A
    19
    B
    17
    C
    23
    D
    25

  • For all n in N, 3^(3n)-26^(n)-1 is divisible by

    A
    24
    B
    64
    C
    17
    D
    676

    • Similar Questions

    Explore conceptually related problems

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    Let P(n) :n(n+1) (n+2) is divisble by 3. What is P(3)?

    Prove by induction that the sum S_(n)=n^(3)+2n^(2)+5n+3 is divisible by 3 for all n in N.

    Show that and only one out of n, n+2 , n+4, is divisble by, 3 , where n is any postivie integer.

    For all natural number of n, 2^(2n).3^(2n)-1-35n is divisible by

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