Find Number of Terms When Sum of N Terms, First Term and Common Difference are Given
Find Number of Terms When Sum of N Terms, First Term and Common Difference are Given
Find Number of Terms When Sum of N Terms, First Term and Common Difference are Given : We will use the formula
Example: How many odd integers beginning with 15 must be taken for their sum to be equal to 975?
Solution: The odd integers beginning with 15 are follows 15, 17,19,...
This forms an A.P. with
first term , a =15 and
common difference, d =17-15 =2
Let 'n' terms of the A.P. be taken to make the sum 975
Substituting thevalue of 'a' and 'd ' in
But n= -39 is rejected since number of terms cannot be negative
Number of odd integers beginning with 15 to make the sum equal to 975=25
The sum of the first n terms of an AP is 196 . Both the first term and the common dffrence of the AP are 7 which of the following values holds true for n? | |||
| Right Option : B | |||
| View Explanation | |||
The sum of first n terms of an AP is 126 if the first term and the common difference are 11 and 4 respectively . Which of the following values holds true for n? | |||
| Right Option : D | |||
| View Explanation | |||
The sum of the first n terms of an AP is 114. If the first term and the common difference of the AP are 12 and 11 respectively, which of the following values holds true for n ? | |||
| Right Option : C | |||
| View Explanation | |||
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