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For each n in N, 3.(5^(2n+1))+2^(3n+1) i...

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

A

19

B

17

C

23

D

25

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-EXERCISE (LEVEL 1 Single Correct Answer Type Questions)
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  3. In the binomial expansion (a-b)^n, nge5 the sum of 5th and 6th terms i...

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  4. 2C0+2^2/2 C1+2^3/3 C2+.............+2^11/11 C10 =?

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  5. C1/C0+2C2/C1+3C3/C2+............+nCn/C(n-1)=(n(n+1))/2

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  6. If (1 + x)^(n) = sum(r=0)^(n) C(r) x^(r),(1 + (C(1))/(C(0))) (1 + (C(...

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  7. lf C(r)=""^(n)C(r), then C(0)-1/3C(1)+1/5C(2)…… upto (n+1) terms equal

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  8. Let (1+x^2)^2*(1+x)^n=sum(k=0)^(n+4)ak*x^k If a1, a2 and a3 are iun ...

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  10. The coefficient of X^24in the expansion of (1+X^2 )^12(1+X^12)(1+X^24)

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  12. The numerically greatest term in the expansion of (1 + x)^(10) when...

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  13. The greatest term in the expansion of (3 + 5x)^(15), when x=1/5, is

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  14. If sum of the coefficients of x^(7) and x^(4) in the expansion of ((x^...

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  15. The value of (19^(3)+6^(3)+(3)(19)(6)(25))/(3^(6)+6(243)(2)+(15)(81)(4...

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  17. Coefficient of the term independent of x in the expansion of (x+1/x)^(...

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

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  19. The sum to 100 terms of the series 1.2.3. + 2.3.4. + 3.4.5. + …+ n...

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  20. If a, b,c, in N, a^(n) + b^(n) is divisible by c when n is odd but not...

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