Home
Class 11
MATHS
Find the 20th term and the sum of 20 ter...

Find the 20th term and the sum of 20 terms of the series: `2xx4+4xx6+6xx8+..........`

Text Solution

Verified by Experts

Given series is `2 xx 4+4 xx 6+6 xx 8+...+n` terms
`nth` term=`2n xx (2n+2)=4n^2+4n`
`a_20=4(20)^2+4(20)^2=1600+80=1680`
Thus, the `20th` term of the series is `1680`.
Promotional Banner

Topper's Solved these Questions

  • SINE AND COSINE FORMULAE AND THEIR APPLICATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos
  • STATISTICS

    RD SHARMA|Exercise Solved Examples And Exercises|175 Videos

Similar Questions

Explore conceptually related problems

(a)Find the sum of "n" terms of the series 2 + 4 + 6 + 8 ......

Find the nth term and the sum of n terms of the series 1.2.4+2.3.5+3.4.6+....

Find the sum to n terms of the series: 3xx8+6xx11+9xx14+...

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

Find the sum of 20 terms of series 2-4+6-8+10-12...

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

Find the term of the series quad 2xx4+4xx6+6xx8+...+n terms.

RD SHARMA-SOME SPECIAL SERIES-Solved Examples And Exercises
  1. Find the sum of the following series whose n th term is: n(n+1)(n+4)

    Text Solution

    |

  2. Find the sum of the following series whose n th term is: (2n-1)^2

    Text Solution

    |

  3. Find the 20th term and the sum of 20 terms of the series: 2xx4+4xx6+6x...

    Text Solution

    |

  4. Find the sum of the first n terms of the series : 3 + 7 + 13 +21 + 31...

    Text Solution

    |

  5. Find the sum of first n terms of the following series:5+11+19+29+41+.....

    Text Solution

    |

  6. Find the sum of n terms\ of the series: 1/(1. 2)+1/(2. 3)+1/(3. 4)+.....

    Text Solution

    |

  7. Sum of the following series to n term: 3+5+9+15\ +23+........

    Text Solution

    |

  8. Sum of the following series to n term: 1+3+7+13+21+ ............

    Text Solution

    |

  9. Sum of the following series to n term: \ 1+3+6+10+15+.............

    Text Solution

    |

  10. Sum of the following series to n term: 1/(1* 4)+1/(4* 7)+1/(7*10)+ ......

    Text Solution

    |

  11. Find the sum 2+5+10+17+26+. . . .

    Text Solution

    |

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

    Text Solution

    |

  13. Sum of the following series to n term: 2+4+7+11+16+.......

    Text Solution

    |

  14. Write the sum of the series 2+4+6+8+...........+2n

    Text Solution

    |

  15. Write the sum of the series 1^2-2^2+3^2-4^2+5^2-6^2...........+(2n-1)^...

    Text Solution

    |

  16. Write the sum of n term for a series whose r^(t h) term is: r+2^r.

    Text Solution

    |

  17. If sum(r=1)^n r=55 ,find sum(r=1)^n r^3.

    Text Solution

    |

  18. If the sum of first n even natural numbers is equal to k times the sum...

    Text Solution

    |

  19. Write the sum of 20 terms of the series: 1+1/2(1+2)+1/3(1+2+3)+

    Text Solution

    |

  20. If tn denotes the nth term of the series 2+3+6+11+18+...t h e nt(50) ...

    Text Solution

    |