1
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The sum of first n terms of an AP is given by Sn = 2n^2 + 3n

The sum of first n terms of an AP is given by S_{n} = 2n^{2} + 3n. Find the sixteenth term of the AP.

2
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An AP consists of 37 terms. The sum of the three middle most terms is 225

An AP consists of 37 terms. The sum of the three middle most terms is 225 and the sum of the last three terms is 429. Find the AP.

3
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In an A.P if sum of its first n terms is 3n^2 + 5n and its kth term is 164

In an A.P if sum of its first n terms is 3n^{2} + 5n and its k^{th} term is 164, find the value of k.

5
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The sum of four consecutive numbers in an AP is 32 and the ratio of the product

The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the last term to the product of two middle terms is 7 : 15. Find the numbers.

6
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If the ratio of the sum of the first n terms of two A.Ps is (7n+1) : (4n+27)

If the ratio of the sum of the first n terms of two A.Ps is (7n + 1) : (4n + 27), then find the ratio of their 9th terms.

7
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If the sum of the first 14 terms of an AP is 1050 and its first term is 10

If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term.

9
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Determine the AP whose 3rd term is 5 and the 7th term is 9

Determine the AP whose 3rd term is 5 and the 7th term is 9.

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