Question Type 6: Finding the sum of the first n terms given other sums Exercises

In an arithmetic sequence the sum of the first 5 terms is 40 and the sum of the first 8 terms is 88. Find the first term.

In an arithmetic sequence the sum of the first 5 terms is 40 and the sum of the first 8 terms is 88. Find the common difference.

In an AP the sum of the first 3 terms is 18 and the sum of the first 7 terms is 70. Find the common difference.

The sum of the first five terms of an AP is equal to the sum of the next five terms. If the first term is 2, find the common difference.

In an AP the sum of the first 7 terms is 84 and the common difference is 3. Find the first term.

In an arithmetic progression the sum of the first 7 terms is 84 and the first term is 5. Find the common difference.

In an arithmetic sequence the sum of the first 5 terms is 40 and the sum of the first 8 terms is 88. Find the sum of the first 12 terms.

In an AP the sum of the first 4 terms is 20 and the sum of the first 10 terms is 95. Find the sum of the first 15 terms.

In an arithmetic progression the sum of the first 4 terms is 40 and the sum of the first 9 terms is 115. Find the first term and the common difference.

Using the arithmetic progression in which the sum of the first 3 terms is 18 and the sum of the first 7 terms is 70, find the sum of the first 10 terms.

In an AP the sum of the first 10 terms is 100 and the sum of the next 10 terms (terms 11 to 20) is 200. Find the first term and the common difference.

For the arithmetic progression in the previous question, find the sum of the terms from the 5th to the 15th term.