Home
Class 12
MATHS
The positive integer n for which 2xx2^2x...

The positive integer `n` for which `2xx2^2xx+3xx2^3+4xx2^4++nxx2^n=2^(n+10)` is `510` b. `511` c. `512` d. 513

A

510

B

511

C

512

D

513

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL -2 (SINGLE CORRECT ANSWER TYPE QUESTIONS)|12 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL (Numerical Answer Type Questions)|21 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

The positive integer n for which 2xx2^2+3xx2^3+4xx2^4+......+nxx2^n=2^(n+10) is a.510 b. 511 c. 512 d. 513

Find the sum to n terms of the series: 1xx2xx3+2xx3xx4+3xx4xx5+.

Find the sum to n terms of the series 1xx2+2xx3+3xx4+4xx5+......

Prove that 1^(1)xx2^(2)xx3^(3)xx xx n^(n)<=[(2n+1)/3]^(n(n+1)/2),n in N

Find the value of 1xx1!+2xx2!+3xx3!+......+n xx n!

Find the value of 1xx1!+2xx2!+3xx3!+......+n xx n!

The value of (6^(n) xx 2^(2n) xx 3^(3n))/(30^(n) xx 3^(2n) xx 2^(3n)) is equal to

Simplify: frac(16 xx 2^(n+1)-8 xx 2^(n))(16 xx 2^(n+2)-4 xx 2^(n+1))

MCGROW HILL PUBLICATION-PROGRESSIONS-SOLVED EXAMPLES LEVEL -1 (SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. Find the sum of the series: 1^2-2^2+3^2-4^2+.....-2008^2+2009^2.

    Text Solution

    |

  2. The odd value of n for which 704+1/2(704)+… upto n terms = 1984-1/2(1...

    Text Solution

    |

  3. The positive integer n for which 2xx2^2xx+3xx2^3+4xx2^4++nxx2^n=2^(n+1...

    Text Solution

    |

  4. Sum of the series S=1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+........... upt...

    Text Solution

    |

  5. If 1^(2)+2^(2)+3^(2)+…+2009^(2)=(2009)(4019)(335) and (1) (2009) +(2) ...

    Text Solution

    |

  6. If x gt 0, and log(2) + log(2)(sqrt(x)) + log(2) (4sqrt(x)) + log(2) (...

    Text Solution

    |

  7. If (1+3+5++p)+(1+3+5++q)=(1+3+5++r) where each set of parentheses cont...

    Text Solution

    |

  8. Let a1, a2, ,a(10) be in A.P. and h1, h2, h(10) be in H.P. If a1=h1=2...

    Text Solution

    |

  9. If a,b,c are in A.P.and a^(2),b^(2),c^(2) are in G.P.such that a lt ...

    Text Solution

    |

  10. Let S1, S2, be squares such that for each ngeq1, the length of a side...

    Text Solution

    |

  11. Let T(r) be the rth term of an AP, for r=1,2,… If for some positive in...

    Text Solution

    |

  12. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  13. If the sum of the first 2n terms of the A.P.2,5,8,…, is equal to the s...

    Text Solution

    |

  14. For a positive integer n let a(n)=1+1/2+1/3+1/4+1/((2^n)-1)dot Then a(...

    Text Solution

    |

  15. 17. If x gt 1, y gt 1, z gt1 are in G.P, then 1/(1+ ln x), 1/( 1+ ln ...

    Text Solution

    |

  16. Let x be the arithmetic mean and y ,z be tow geometric means between a...

    Text Solution

    |

  17. If 1/1^3 + (1+2)/(1^3+2^3)+(1+2+3)/(1^3+2^3+3^3) +.......n terms then ...

    Text Solution

    |

  18. Let underset(r=1)overset(n)sumr^(4)=f(n)," then "underset(r=1)overset(...

    Text Solution

    |

  19. The sum of n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+.... is...

    Text Solution

    |

  20. If the first and (2n + 1)th terms of an A.P. , G.P. and H.P. are equal...

    Text Solution

    |