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

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|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

If the sum to n terms of a sequence be n^(2)+2n then prove tht the sequence is an 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

Find the sum of first 45 terms of an A.P. whose 8^(th) term is 41 and 13^(th) term is 61 .

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)

The first term of an A.P.is 5 and its 100th term is -292. Find the 50th term of this A.P.

Find the 10th term of the A.P., if a=1 and d=1

If the sum of first 14 terms of an A.P. is 1050 and its first term is 10, find the 20^(th) term.

If the sum of the first 12 terms of an A.P.is 468 and its common difference is 6, find the 10th term.

RESONANCE DPP-JEE MAINS-All Questions
  1. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

    Text Solution

    |

  2. Which of the following is true? pi/3>tan^(-1)pi/3 (b) pi/3<tan^(-1)pi...

    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. Evaluate: int(-1)^4f(x)dx=4a n dint2^4(3-f(x))dx=7, then find the val...

    Text Solution

    |

  5. If hat a , hat b ,a n d hat c are three unit vectors, such that h...

    Text Solution

    |

  6. In a Delta ABC, the value of (a cosA+b cosB+c cosC)/(a+b+c) is equal t...

    Text Solution

    |

  7. If f(x)=prod(n=1)^(100)(x-n)^(n(101-n)),w h e r eprod(i=1)^k ai st...

    Text Solution

    |

  8. If 2a+3b+c=3; a >0,b >0,c >0, then the greatest value of a^2b^5c^2

    Text Solution

    |

  9. A tower stands at the centre of a circular park. A and B are two po...

    Text Solution

    |

  10. The value of sin^(-1)(3/(sqrt(73)))+cos^(-1)((11)/(sqrt(146)))+cot^(-1...

    Text Solution

    |

  11. AB is a vertical pole with B at the ground level and A at the top. ...

    Text Solution

    |

  12. Set of all values of x satisfying in inequation cos^(-1)sqrt(x)&gt;si...

    Text Solution

    |

  13. Consider the conic ex^(2)+piy^(2)-2e^(2)x-2pi^(2)y+e^(3)+pi^(3)= pie. ...

    Text Solution

    |

  14. If the equation sin(cot^(-1)(cot^(-1)(tan^(-1))))=lambda has a soluti...

    Text Solution

    |

  15. For 2lt=r

    Text Solution

    |

  16. Let f be an injective function with domain {x, y, z} and range {1, 2, ...

    Text Solution

    |

  17. If 2tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is independent of ' x ' then (...

    Text Solution

    |

  18. Minimum value of a^2cos e c^2theta+b^2sec^2theta is (where a b >0 )

    Text Solution

    |

  19. The solution set of the inequality 4(cos^(-1)x)^2-1geq0 is a.[-1,cos...

    Text Solution

    |

  20. The remainder left out when 8^(2n)""(62)^(2n+1) is divided by 9 is (1)...

    Text Solution

    |