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5. Find the number of terms in each of the following A.P. (i) 7, 13, 19, …, 205

5. Find the number of terms in each of the following A.P.

(i) 7, 13, 19, …, 205

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 8741 Points
3 months ago
(i) Given, 7, 13, 19, …, 205 is the A.P Therefore First term, a = 7 Common difference, d = a2 − a1 = 13 − 7 = 6 Let there are n terms in this A.P. an = 205 As we know, for an A.P., an = a + (n − 1) d Therefore, 205 = 7 + (n − 1) 6 198 = (n − 1) 6 33 = (n − 1) n = 34 Therefore, this given series has 34 terms in it.

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