Home
Class 12
MATHS
Find the sum of all integers from 1to 10...

Find the sum of all integers from 1to 1001.

Text Solution

Verified by Experts

Requored sum ` = (1001)/(2) (1+ 1001) `
` = 1001 xx 501`
= 501501
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A) One option is correct|60 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - B) One option is correct|49 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - J) Aakash Challengers|11 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos
  • SETS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-I(Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

Find the sum of odd integers from 1 to 2001.

Find the sum of integers from 1 to 100 that are divisible by 2 or 5.

(i) Find the sum of first 200 even natural numbers. (ii) Find the sum of all numbers lying between 201 and 424 which are divisible by 5. (iii) Find the sum of all numbers from 1 to 200 which are divisible by either 2 or 3.

What is the sum of all the integers from 20 to 100, inclusive?

Find the sum of all integers between 100 and 550, which are divisible by 9.

Find the sum of all integers between 100 and 550, which are divisible by 9.

Let ||X|| be defined as the sum of the integers from 1 to x, inclusive. Which of the following equals ||21||-||20|| ?

Find the sum of all integers between 0 and 500 which are divisible by 7.

Find the sum of all integers between 50 and 500 which are divisible by 7.

Find the sum of all even integers between 101 and 999.

AAKASH INSTITUTE ENGLISH-SEQUENCES AND SERIES -Try Yourself
  1. If a,b,c are in A.P. prove that: a(1/b+1/c),b(1/c+1/a),c(1/a+1/b) are ...

    Text Solution

    |

  2. If a^2(b+c),b^2(c+a),c^2(a+b), are in A.P. show that either a ,b ,c ar...

    Text Solution

    |

  3. Find the sum of all integers from 1to 1001.

    Text Solution

    |

  4. Solve: 1+4+7+10+...+x=590.

    Text Solution

    |

  5. How many term of the A.P. 15 , 12, 9 ., - are needed to give the sum ...

    Text Solution

    |

  6. Let S1, S2 and S3 be the sum of n terms of 3 arithmetic series, the fi...

    Text Solution

    |

  7. If the sum of n tems of a series be 5n^2+3n, find its nth term. Are th...

    Text Solution

    |

  8. The ratio of the sum of n terms of two A.P.\'s is (3n+1):(4n+3). Find ...

    Text Solution

    |

  9. A person is to count 4500 currency notes. Let an denote the number of ...

    Text Solution

    |

  10. A man saves ₹ 200 in each of the first three months of his servies.In ...

    Text Solution

    |

  11. Find the arithmetic between : (i) 56 and 64 (ii) x^(2) - y^(2)...

    Text Solution

    |

  12. If the A.M. between p^(th) and q^(th) terms of an A.P. , be equal to...

    Text Solution

    |

  13. If (x^p+y^p)/(x^(p-1)+y^(p-1))=(x+y)/2 be the A.M. between x and y the...

    Text Solution

    |

  14. Prove that the sum of n arithmetic means between two numbers in n time...

    Text Solution

    |

  15. Insert 5 numbers between 7 and 25 such that the resulting sequence is ...

    Text Solution

    |

  16. If A1,A2,A3, A4 and A5 are the five A.M.'s between 2 nd 8, then find t...

    Text Solution

    |

  17. Find the sequence whose n^(th) term is 5^(n-1) it a G.P. ? Find it...

    Text Solution

    |

  18. Find the sequence whose n^(th) term is 5^(n) - 1 is it a G.P. ? Wh...

    Text Solution

    |

  19. Find the n^(th) term of the G.P. (3)/(2), (3)/(4), (3)/(8),…. also fi...

    Text Solution

    |

  20. Which term of the progression 0.004,0.02,0.1,… is 12.5?

    Text Solution

    |