Home
Class 11
MATHS
If (1^2-t1)+(2^2-t2)+---+(n^2-tn)=(n(n^2...

If `(1^2-t_1)+(2^2-t_2)+---+(n^2-t_n)=(n(n^2-1))/3` , then `t_n` is equal to a. `n^2` b. `2n` c. `n^2-2n` d. none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If m ,n in Na n dm^2-n^2=13 ,t h e n(m+1)(n+1) is equal to a. 42 b. 56 c. 50 d. none of these

If (1+t a n1^0). (1+t a n2^0) .(1+t a n3^0)......(1+tan45^0)=2^n , then ' n ' is equal to 16 b. 23 c. 3 0 d. none of these

If (1 ^(2) - t _(1)) + (2 ^(2) - t _(2)) + ......+ ( n ^(2) - t _(n)) =(1)/(3) n ( n ^(2) -1 ), then t _(n) is

The value of sum_(r=0)^(n-1)^n C_r//(^n C_r+^n C_(r+1)) equals a. n+1 b. n//2 c. n+2 d. none of these

IfS_n=[1/(1+sqrt(n))+1/(2+sqrt(2n))++1/(n+sqrt(n^2))],t h e n(lim)_(n rarr oo)S_n is equal to (a)log 2 (b) log4 (c)log 8 (d) none of these

If D_k=|(1, n, n),(2k, n^2+n+1,n^2+n),(2k-1,n^2,n^2+n+1)| and sum_(k=1)^n D_k=56. then n equals 4 b. 6 c. 8 d. none of these

If D_k=1nn2k n^2+n+1n^2+n2k-1n^2n^2+n+1a n dsum_(k=1)^n D_k=56. then n equals 4 b. 6 c. 8 d. none of these

(n+2)C_0(2^(n+1))-(n+1)C_1(2^(n))+(n)C_2(2^(n-1))-.... is equal to

(lim)_(n->oo)(n !)/((n+1)!+n !) is equal to a. 1 b . 0 c. 2 d. 1/2

If A+B+C=180^0 , then (t a n A+t a n B+t a n C)/(t a n A\ t a n B\ t a n C) is equal to a. t a n A t a n B t a n C b. 0 c. 1 d. none of these

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. The numbers 1, 4, 16 can be three terms (not necessarily consecutive) ...

    Text Solution

    |

  2. Each question has four choices a,b,c and d out of which only one is...

    Text Solution

    |

  3. If (1^2-t1)+(2^2-t2)+---+(n^2-tn)=(n(n^2-1))/3 , then tn is equal to a...

    Text Solution

    |

  4. If b(n+1)=1/(1-bn)forngeq1a n db1=b3, t h e nsum(r=1)^(2001)b r^ 2001 ...

    Text Solution

    |

  5. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

    Text Solution

    |

  6. If 1^2+2^2+3^2++2003^2=(2003)(4007)(334) and (1)(2003)+(2)(2002)+(3)(2...

    Text Solution

    |

  7. The value of sum(i=1)^nsum(j=1)^isum(k=1)^j1=220 , then the value of ...

    Text Solution

    |

  8. The sum of 0. 2+0.004+0. 00006+0. 0000008+... to oo is a.(200)/(891) ...

    Text Solution

    |

  9. If tn=1/4(n+2)(n+3) for n=1, 2 ,3,.... then 1/t1+1/t2+1/t3+....+1/(t(...

    Text Solution

    |

  10. The coefficient of x^(19) in the polynomial (x-1)(x-2)(x-2^2)(x-2^(19)...

    Text Solution

    |

  11. If 1-1/3+1/5-1/7+1/9-1/(11)+=pi/4 , then value of 1/(1xx3)+1/(5xx7)+1/...

    Text Solution

    |

  12. The positive integer n for which 2xx2^2+3xx2^3+4xx2^4+......+nxx2^n=2...

    Text Solution

    |

  13. If tn denotes the nth term of the series 2+3+6+11+18+...then t(50)...

    Text Solution

    |

  14. The number of positive integral ordered pairs of (a ,b) such that 6,a ...

    Text Solution

    |

  15. Let a ,b >0, let 5a-b ,2a+b ,a+2b be in A.P. and (b+1)^2, a b+1,(a-1)^...

    Text Solution

    |

  16. The difference between the sum of the first k terms of the series ...

    Text Solution

    |

  17. The value of the sum(n=0)^oo(2n+3)/(3^n) is equal to.

    Text Solution

    |

  18. If the roots of 10 x^3-n x^2-54 x-27=0 are in harmonic progression...

    Text Solution

    |

  19. The 5th and 8th terms of a geometric sequence of real numbers are 7! ...

    Text Solution

    |

  20. Let a ,b ,c ,d be four distinct real numbers in A.P. Then the smallest...

    Text Solution

    |