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Sum of n^( th) bracket of (1) + (2+ 3+4)...

Sum of `n^( th)` bracket of `(1) + (2+ 3+4) + ( 5+ 6+ 7+ 8+9) + …..` is

A

65225

B

56255

C

55625

D

242649

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The correct Answer is:
D
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AAKASH SERIES-MATHEMATICAL INDUCTION-PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)
  1. 1+ (1+3) + (1+3+ 5) + ….n brackets =

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  2. 1+ ((1)/(3) + (1)/(3^2) ) + (( 1)/( 3^3) + (1)/( 3^4) + (1)/( 3^5) ) ...

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  3. Sum of n^( th) bracket of (1) + (2+ 3+4) + ( 5+ 6+ 7+ 8+9) + ….. is

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  4. { n (n+1) (2n+1) : n in Z} sub

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  5. If a,b and n are natural numbers then a^(2n-1) + b^(2n-1) is divisible...

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  6. If 'a' and 'b'are natural numbers such that a^(2) - b^(2) is prime num...

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  7. AA n in N, 49^(n) + 16n -1 is divisible by

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  8. AA n in , 7^(2n) + 3^(n-1) . 2^(3n-3) is divisible by

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  9. Sum of the cubes of three successive natural number is divisible by

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  10. For every natural number n, 3^(2n+2) - 8n -9 is divisible by

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  11. If 10^(n) + 3.4^(n) + x is divisible by 9 for all n in N, then least ...

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  12. AA n in N, 5^(2n+2) - 24n - 25 is divisible by

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  13. If y^(n) -1 is divisible by y+ a for all values of n in N, then a must...

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  14. 7^(13) + 6^(13) is divisible by

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  15. (1+ x)^(n) -nx -1 is divisible by (where n in N )

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  16. For a positive integer (n gt 1), Let a (n) = 1+ (1)/(2) + (1)/(3) + (1...

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  17. For all positive integers n gt 1, { x(x^(n-1) - n,a^(n-1) ) } + a^(n) ...

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  18. ((n+2)!)/( (n-1)!) is divisible by

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  19. When 2^( 301) is divided by 5, the least +ve remainder is

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  20. Statement -1 : For all n in N, x^( 2n+1) +y^(2n+1) is divisible by x+y...

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