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Question -

Which term of the A.P. 3, 8, 13, 18, … is 78?



Answer -

Given the A.P. series as3, 8, 13, 18, …

First term, a = 3

Common difference, d = a2 − a1 =8 − 3 = 5

Let the nth termof given A.P. be 78. Now as we know,

an = a+(n−1)d

Therefore,

78 = 3+(n −1)5

75 = (n−1)5

(n−1) = 15

n = 16

Hence, 16th term of this A.P.is 78.

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