Question

The first term of an AP are 17 and 350 respectively.if the common difference is 9,how many terms are these and what is their sum

Answer 1

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Answer 2

Let a = first term, l = last term and d = common difference of the AP.

then,
l = a + (n-1)d

=> 350 = 17 + (n-1)9

=> 350 = 9n +17-9

=> 350 = 9n + 8

=> 9n = 350-8 = 342

thus number of terms = n = 38

Now, sum of all the terms = n/2 (a+l)

=> 38/2 (17 +350)

=> 19 x 367

=> 6973.