Answer :

Here, first term = a = 17

Common difference = 9


Last term = l = 350


To find: number of terms and their sum.


Let there be n terms in the AP.


Since, l= 350


350 = 17 + (n - 1)9


350 - 17 = 9n - 9


333 = 9n - 9


333 + 9 = 9n


9n = 342


n = 38


Therefore number of terms = 38


Now, Sum of n terms of this arithmetic series is given by:


Sn = [2a + (n - 1)d]


= [a + a + (n - 1)d]


= [a + l]


Therefore sum of 38 terms of this arithmetic series is given by:


S38 = [17 + 350]


= 19 × 367


= 6973


n= 38 and Sn = 6973


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