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

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

A

8

B

64

C

16

D

128

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A, B, C
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Statement -I , 3^(2n+2)-8n-9 is divisible be 64 , (AAn in NN) Syatement - II : (1+x)^(n)-nx-1 is divisible by x^(2),(AAn inNN)

By ........in "Principle of Mathematical Induction" prove that for all n in N 3^(2n+2)-8n-9 is divisible 64

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By using mathematical induction prove that 3^(2n)-8n-1 is divisible by 64 when n is an integer.

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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. If (1+x+x^2)^n=a0+a1x+...+a(2n)x^(2n) then

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  2. The coefficients of x^7 in the expansion of (x^3+3x+3/x+1/x^3)^5 is

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

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  4. If (x+1/x+x^2+1/x^2)^11=a0x^(-22)+a1x^(-21)+.....+a44x^(22), then a0+a...

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  5. If (8+3sqrt7)^n=P+F, where P is an integer and F is a proper fraction,...

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  6. Let n=3^(100), then for n

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  7. Let an=(1000)^n/(n!) for n in N. Then an is greatest, when

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  8. Which of the following is/are correct

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  9. Answer the following question based on above passage: The coefficient...

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  10. Answer the following question based on above passage: The coefficient...

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  11. Let P=sum(r=1)^(50)(^(50+r)Cr(2r-1))/(^(50)Cr(50+r)), Q=sum(r=1)^(50)(...

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  12. Let P=sum(r=1)^(50)((50+r)Cr(2r-1))/((50)Cr(50+r)), Q=sum(r=1)^(50)(50...

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  13. In reference to the expansion (1+x)^n=sum(r=0)^nCrx^r, n in N, match t...

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  14. Match List - I with List-II

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  15. Match List - I with List-II

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  16. If 6^83+8^83 is divided by 49, then the sum of the digits of remainder...

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  17. Given (1-2x+5x^2-10x^3)(1+x)^n=1+a1x+a2x^2+.... and that a1^2=2a2, the...

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  18. The digit in the units place of the decimal representation of 7^1000 i...

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  19. The remainder, if 1+2+2^2+2^3+....+2^1999 in divided by 5 is

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  20. The sum of possible values of x for which the fifth term in the expans...

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