Home
Class 10
MATHS
The first term of an AP is 5, the last t...

The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the formulas related to Arithmetic Progressions (AP). ### Given: - First term (A) = 5 - Last term (L) = 45 - Sum of the terms (S) = 400 ### Step 1: Use the formula for the sum of an AP ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    NCERT|Exercise Exercise 5.1|4 Videos
  • AREAS RELATED TO CIRCLES

    NCERT|Exercise SOLVED EXAMPLES|6 Videos
  • CIRCLES

    NCERT|Exercise SOLVED EXAMPLES|3 Videos

Similar Questions

Explore conceptually related problems

The first term of an A.P. is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

The first term of an A.P. is 5 , the last term is 45 and the sum is 400. Find the number of terms and the common difference .

Knowledge Check

  • The first term of A.P. is 5, the last is 45 and their sum is 400. If the number of terms is n and d is the common differences , then ((n)/(d)) is equal to :

    A
    9
    B
    8
    C
    7
    D
    6
  • The first term of an A.P. is 5 and the last term is 45. If the sum of all the terms in 400. the number of terms is

    A
    20
    B
    8
    C
    10
    D
    16
  • Similar Questions

    Explore conceptually related problems

    The first term of an A.P. is 5, the last term is 45 and sum is 400. Find the number of terms and the common difference.

    The first term of an A.P is 7 , the last term is 47 and the sum is 432 . Find the number of terms and the common difference .

    The first term of an A.P. is 3, the last term is 83 and the sum of all its terms is 903. Find the number of terms and the common difference of the A.P.

    In an A.P.first term is 5, last term is 45 and sum =400. Find the no.of terms and common difference of A.P.

    In an A.P.first term is 5, last term is 45 and sum =400. Find the no.of terms and common difference of A.P.

    The first term of an AP is -5 and the last term is 45. If the sum of the terms of the AP is 120, then find the number of terms and the common difference.