Assertion(A): If Sn is the sum of the first n terms of an AP, then its nth term an is given by an = Sn – Sn – 1 Reason (R): The 10th term of the A.P. 5, 8, 11, 14, ………………. is 35.

Question

Assertion-ReasonRelationship Between nth Term and Sum of Arithmetic Progression

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If the sum of first n terms of an A.P. is given by Sn = n/2 (3n + 1), then the first term of the A.P. is

If the sum of first n terms of an A.P. is given by Sn = n/2(3n + 1), then the first term of the A.P. is

Sum of First n Terms of Arithmetic Progression

Relationship Between nth Term and Sum of Arithmetic Progression

The sum of first n terms of an AP is 5n² − n. Find the nth term of the AP.

Assertion (A): In an AP, Sn = n² + n then a20 = 40 Reason (R): In an AP d = an – an-1

If the sum of first n terms of an A.P. is given by Sn = n/2(2n + 8). Then, find its first term and common difference. Hence, find its 15th term.

In an A.P., the sum of the first 'n' terms is 3n² + n. Find the first term and the common difference of the A.P. Hence, find its 15th term.