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, the first term and the common difference of an AP are 500, and 50 respectively. Which of the following values holds true for n? | |||
| Right Option : A | |||
| View Explanation | |||
The sum of all terms of an A.P. is 57 and the first and the last term are 17 and 2 respectively find the number of terms. | |||
| 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 | |||
Students / Parents Reviews [20]
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Yatharthi Sharma
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Manya
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Om Umang
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Shivam Rana
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Manish Kumar
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
Shreya Shrivastava
8thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
Aman Kumar Shrivastava
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
