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6. The first and the last term of an AP are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?

6. The first and the last term of an AP are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 8741 Points
3 months ago
Given that, First term, a = 17 Last term, l = 350 Common difference, d = 9 Let there be n terms in the A.P., thus the formula for last term can be written as; l = a+(n −1)d 350 = 17+(n −1)9 333 = (n−1)9 (n−1) = 37 n = 38 Sn = n/2 (a+l) S38 = 13/2 (17+350) = 19×367 = 6973 Thus, this A.P. contains 38 terms and the sum of the terms of this A.P. is 6973.

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