Home
Class 11
MATHS
Find the sum of all numbers between 200 ...

Find the sum of all numbers between 200 and 400 which are divisible by 7.

Text Solution

AI Generated Solution

To find the sum of all numbers between 200 and 400 that are divisible by 7, we can follow these steps: ### Step 1: Identify the first and last terms First, we need to find the smallest number greater than or equal to 200 that is divisible by 7. We can do this by dividing 200 by 7 and rounding up to the nearest whole number. \[ \text{First term} (a) = 7 \times \lceil \frac{200}{7} \rceil = 7 \times 29 = 203 \] ...
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NCERT|Exercise EXERCISE 9.4|10 Videos
  • SEQUENCES AND SERIES

    NCERT|Exercise EXERCISE 9.2|18 Videos
  • SEQUENCES AND SERIES

    NCERT|Exercise EXERCISE 9.5|6 Videos
  • RELATIONS AND FUNCTIONS

    NCERT|Exercise EXERCISE 2.3|5 Videos
  • SETS

    NCERT|Exercise EXERCISE 1.5|7 Videos

Similar Questions

Explore conceptually related problems

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

Find the sum of all odd numbers between 0 and 50

Find the sum of all numbers between 10 and 100 that are divisible by 3.

Find the sum of all integers between 100 and 50, which are divisible by 9.

(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.

Find the sum of all integers between 101 and 500, which are divisible by 9.

Find the sum of all odd numbers between 100 and 200.

NCERT-SEQUENCES AND SERIES-MISCELLANEOUS EXERCISE
  1. Show that (1xx2^2+2xx3^2+......+nxx(n+1)^2)/(1^2xx2+2^2xx3+......+n^2x...

    Text Solution

    |

  2. Find the sum of the following series up to n terms : (1^3)/1+(1^3+2^2...

    Text Solution

    |

  3. If S1,S2,S3are the sum of first n natural numbers, their squares and ...

    Text Solution

    |

  4. A G.P. consists of an even number of terms. If the sum of all the ter...

    Text Solution

    |

  5. If a\ (1/b+1/c),\ b(1/c+1/a),\ c(1/a+1/b) are in A.P. prove that a ,\ ...

    Text Solution

    |

  6. If a, b, c, d are in G.P., prove that (a^n+b^n),(b^n+c^n),(c^n+a^n)ar...

    Text Solution

    |

  7. Let S be the sum, P the product and R the sum of reciprocals of n term...

    Text Solution

    |

  8. The p^(t h),q^(t h)and r^(t h)terms of an A.P. are a, b, c, respectiv...

    Text Solution

    |

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

    Text Solution

    |

  10. If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0),then show that...

    Text Solution

    |

  11. The sum of three numbers m GP is 56. If we subtract 1.7,21 from these...

    Text Solution

    |

  12. If a\ a n d\ b are the roots of x^2-3x+p=0\ a n d\ c ,\ d are the root...

    Text Solution

    |

  13. The ratio of the A.M. and G.M. of two positive numbers a and b, is m ...

    Text Solution

    |

  14. Show that the sum of (m+n)^(t h)and (m-n)^(t h)terms of an A.P. is eq...

    Text Solution

    |

  15. Let the sum of n, 2n, 3n terms of an A.P. be S1,S2and S3, respectively...

    Text Solution

    |

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

    Text Solution

    |

  17. Find the sum of all numbers between 200 and 400 which are divisible b...

    Text Solution

    |

  18. If f is a function satisfying f(x+y)=f(x)f(y)for all x ,y in Xsuch t...

    Text Solution

    |

  19. Find the sum of all two digit numbers which when divided by 4, yields...

    Text Solution

    |

  20. The first term of a G.P. is 1. The sum of the third term and fifth te...

    Text Solution

    |