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If the first term of an A.P. is 5, the last term is 15 and the sum of first n terms is 30, then find the value of n. - Mathematics

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Question

If the first term of an A.P. is 5, the last term is 15 and the sum of first n terms is 30, then find the value of n.

Sum

Solution

a = 5

Tn = l = 15

Sn = 30

n = ?

Sn = `n/2(a + l)`

⇒ 30 = `n/2(5 + 15)`

⇒ 60 = n × 20

⇒ 3 = n

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