Home
Class 11
MATHS
Find the sum of 20 terms of the A.P. 1,4...

Find the sum of 20 terms of the A.P. 1,4,7,10…..

Text Solution

Verified by Experts


Let a be the first term and d be the common difference of the given A.P.
Then, we have `a=1` and `d=3`
we have to find sum of 20 terms of the given A.P.
Putting a=1,d=3,n=20 in
`S_n` = `n/2`​ `{2a+(n−1)d}, `we get
`S _20` = `20/2``{2×1+(20−1)×3}=10×59=590`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RD SHARMA|Exercise Solved Examples And Exercises|228 Videos

Similar Questions

Explore conceptually related problems

Find the sum of 20 terms of the AP 1;4;7;10...

Find the sum of 50 terms of the A.P. 1 + 4 + 7 + ....

Find the sum to n term of the A.P.5,2,-1,-4,-7,

Find the sum to 25 terms of the A.P. 5, 7, 9, 11, …

Find the sum to n term of the A.P.1,3,5,7.....

30th term of the A.P. 10,7,4,….. Is

Find 10 th term of the A.P.1,4,7,10

Find the sum of first 10 terms of the A.P. x-8, x-2, x+4 ,"…" .

Find: 10 th term of the A.P.1,4,7,10..

Find the sum of the first 10 terms of the A.P. 6,4,2,…..

RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  1. Find the four numbers in A.P., whose sum is 50 and in which the greate...

    Text Solution

    |

  2. If the sum of three numbers in A.P. is 24 and their product is 440, ...

    Text Solution

    |

  3. Find the sum of 20 terms of the A.P. 1,4,7,10…..

    Text Solution

    |

  4. Find the sum of the series : 5+13+21++181.

    Text Solution

    |

  5. Find the sum of all three digit natural numbers, which are divisible b...

    Text Solution

    |

  6. Find the sum of all odd integers between 2 and 100 divisible by 3

    Text Solution

    |

  7. The sum of the first four terms of an A.P. is 56. The sum of the last ...

    Text Solution

    |

  8. If the sum of n terms of an A.P. is (p n+q n^2) , where p and q are...

    Text Solution

    |

  9. If the sum of n terms of an A.P. is 3n^2+5n and its mth term is 164, f...

    Text Solution

    |

  10. Find the sum of n terms of the sequence (an),w h e r ean=5-6n ,n in N...

    Text Solution

    |

  11. If the m^(t h) term of an A.P. is 1/n a n d\ t h e\ n^(t h)t e r m\ i ...

    Text Solution

    |

  12. How many terms of the series 54,51, 48,.. be taken so that their sum i...

    Text Solution

    |

  13. solve: 1 + 6 + 11 + 16 +.........+ x = 148

    Text Solution

    |

  14. The sum of the first p , q , r terms of an A.P. are a , b , c respecti...

    Text Solution

    |

  15. If the sum of first m terms of an A.P. is the same as the sum of its f...

    Text Solution

    |

  16. The ratio of the sum of ma n dn terms of an A.P. is m^2: n^2dot Show t...

    Text Solution

    |

  17. The interior angles of a polygon are in A.P. the smallest angle is 120...

    Text Solution

    |

  18. Prove that a sequence in an A.P., if the sum of its n terms is of the ...

    Text Solution

    |

  19. If the first term of an A.P. is 2 and the sum of first five terms is ...

    Text Solution

    |

  20. The sum of n terms of two arithmetic progressions are in the ratio (3n...

    Text Solution

    |