Home
Class 12
MATHS
Show that the sum of n terms of the seri...

Show that the sum of n terms of the series {4+12+20+28+…} is the square of an even number.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 B (Short Answer Type Questions)|42 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 B (Long Answer Type Questions)|52 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 B (Multiple Choice Questions)|12 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Find the sum to n terms of the series 3+15+35+63+

Show that the sum of 4 + 12 + 20 + 28 + .... up to n the term is a square of even number

Find the sum of n term of the series 2+4+7+11+16+.....

Prove that when 1 is added to the sum of n terms of the series {8+16+24+…}, the result will be perfect square.

The sum to n terms of the series [1. (1!)+2. (2!)+ 3.(3!)+…] is-

Find the sum of n terms of the series 3+7+14+24+37+.....

Find the sum of n terms of the series 1/2.5+1/5.8+1/8.11 …to n terms.

If the sum of first n terms of a series is 2n^(2) + 3n , find the series.

Find the sum to n terms of the series whose n^("th") term is n (n+3).

Find the sum to n terms of the series whose n^th term is n(n+3).

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 B (Very Short Answer Type Questions)
  1. The 10th term of an A.P. is (-15) and the 31st term is (-57). Find the...

    Text Solution

    |

  2. If the pth term of an arithmetic progression is q and the qth term is ...

    Text Solution

    |

  3. Let T(r) be the rth term of an A.P. If m. T(m) = n.T(n), the show that...

    Text Solution

    |

  4. Which term of the A.P. {7, 11, 15, 19,….} is 111 ?

    Text Solution

    |

  5. Is 600 a term of the A.P. {2, 9, 16, 23,…} ? Give reasons for your ans...

    Text Solution

    |

  6. Fill up the gaps (indicated by ) in each of the following A.P.'s. 1,...

    Text Solution

    |

  7. Fill up the gaps (indicated by ) in each of the following A.P.'s. ,...

    Text Solution

    |

  8. Given, a^(2) + 2a + 2, 3a^(2) + 6a + 6 and 4a^(2) + 5a + 4 are in A.P....

    Text Solution

    |

  9. The nth term of an arithmetic progression is 3n-1. Find the progressio...

    Text Solution

    |

  10. Find the middle term (or terms) and the sum of each of the following s...

    Text Solution

    |

  11. Find the middle term (or terms) and the sum of each of the following s...

    Text Solution

    |

  12. Find the middle term (or terms) and the sum of each of the following s...

    Text Solution

    |

  13. The twelfth term of an A.P. is (-13) and the sum of its first four ter...

    Text Solution

    |

  14. The 5th and 11th terms of an A.P. are 41 and 20 respectively. What is ...

    Text Solution

    |

  15. The sum to n terms of an A.P. is n^(2). Find the common difference.

    Text Solution

    |

  16. Show that the sum of n terms of the series {4+12+20+28+…} is the squar...

    Text Solution

    |

  17. Prove that when 1 is added to the sum of n terms of the series {8+16+2...

    Text Solution

    |

  18. Find the sum of the series 1+3+4+8+7+13+10+18+… to 23 terms.

    Text Solution

    |