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Arithmetic Progressions

Question 11:

If the sum of the first n terms of an AP is 4nn2, what is the first term (that is S1)? What is the sum of first two terms? What is the second term? Similarly find the 3rd, the10th and the nth terms.

Answer:

Given that,

Sn = 4nn2

First term, a = S1 = 4(1) − (1)2 = 4 − 1 = 3

Sum of first two terms = S2

= 4(2) − (2)2 = 8 − 4 = 4

Second term, a2 = S2S1 = 4 − 3 = 1

d = a2 −...

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