Home
Class 12
MATHS
The sum of first p -terms of a sequence ...

The sum of first `p` -terms of a sequence is `p(p+1)(p+2)dot` the 10th term of the sequence is a. 396 b. 600 c. 330 d. `114`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The sum of the first n terms of an A.P. is 3n^2+6n . Find the n^(th) term of this A.P.

The nth term of a sequence is 8 -5n. Show that the sequence is an A.P.

If the sum to n terms of a sequence be n^2+2n then prove that the sequence is an A.P.

The sum of the first 25 terms of an arithmetic sequence is 1,400, and the 25th term is 104. If the first term of the sequence is a_(1) and the second term is a_(2) , what is the value of a_(2)-a_(1) ?

If nth term of a sequences is 4n^2+1, find the sequence. Is this sequences at A.P.?

If the sum of first n terms of an A.P. is an^(2) + bn and n^(th) term is An + B then

If the sum of first 3 terms of an A.P. is 33 and their product is 1155 . Then the 11^(th) term of the A.P . Is

The sum of first p- terms terms of an A.P. is q and the sum of first q terms is p, find the sum of first (p + q)

In an A.P., the sum of first n terms is (3n^2)/2+(5n)/2dot Find its 25th term.

The sum of n terms of a series is n(n+1) . Prove that it is an A.P. also find its 10th term.

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let f:RtoR be a differentiable function such that f(x)=x^(2)+int(0)^(x...

    Text Solution

    |

  2. let |{:(1+x,x,x^(2)),(x,1+x,x^(2)),(x^(2),x,1+x):}|=(1)/(6)(x-alpha(1)...

    Text Solution

    |

  3. The sum of first p -terms of a sequence is p(p+1)(p+2)dot the 10th ter...

    Text Solution

    |

  4. Lines whose equation are (x-3)/(2)=(y-2)/(3)=(z-1)/(lamda) and (x-2)/(...

    Text Solution

    |

  5. The solution set of the inequation 3^(72)(1/3)^x(1/3)^(sqrt(x))>1 is [...

    Text Solution

    |

  6. If the curves C1 : y= (In x)/x and C2 : y=lambdax^2 (where lambda is c...

    Text Solution

    |

  7. A die is rolled and showing any number is directly proportional to tha...

    Text Solution

    |

  8. If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A, then find ...

    Text Solution

    |

  9. If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal ...

    Text Solution

    |

  10. Find the value of a for which the sum of the squares of the roots of t...

    Text Solution

    |

  11. Lines whose equation are (x-3)/(2)=(y-2)/(3)=(z-1)/(lamda) and (x-2)/(...

    Text Solution

    |

  12. Let f(x)a n dg(x) be differentiable functions such that f^(prime)(x)g(...

    Text Solution

    |

  13. Let f(x)= 4x^(2) - 4ax + a^(2) - 2a + 2 such that minimum value fo the...

    Text Solution

    |

  14. Suppose that E1 and E2 are two events of a random experiment such that...

    Text Solution

    |

  15. If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5, then

    Text Solution

    |

  16. Consider a quadratic equation az^(2)bz+c=0, where a,b and c are comple...

    Text Solution

    |

  17. Find tha value of the expression 2/log4(2000)^6+3/log5(2000)^6

    Text Solution

    |

  18. Find the whole area included between the curve x^2y^(2) = a^(2)(y^(2) ...

    Text Solution

    |

  19. The number of ways of choosing triplet (x , y ,z) such that zgeqmax{x,...

    Text Solution

    |

  20. The number of isosceles triangles with integer sides if no side exeeds...

    Text Solution

    |