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11. Arithmetic Progression
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Q1 of 102 Page 429

If the sum of n terms of an AP is given by Sn = (2n2 + 3n), then find its common difference.

Given: Sn = (2n2 + 3n)

To find: find common difference


Put n = 1 we get


S1 = 5 OR we can write


a = 5 …equation 1


Similarly put n = 2 we get


S2 = 14 OR we can write


2a + d = 14


Using equation 1 we get


d = 4


More from this chapter

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5

If are in AP, prove that a2(b + c), b2(c + a), c2(a + b) are in AP.

6

If a, b, c are in AP, show that are also in AP.

2

If 9 times the 9th term of an AP is equal to 13 times the 13th term, show that its 22nd term is 0.

3

In an AP it is given that Sn = qn2 and Sm = qm2. Prove that Sq = q3.

Questions · 102
11. Arithmetic Progression
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