Q. 215.0( 4 Votes )

Determine the sum of first 35 terms of an A.P., if the second term is 2 and the seventh term is 22.

Answer :

Given: a2 = 2 and a7 = 22 and n = 35


We know that,


a2 = a + d = 2 …(i)


and a7 = a + 6d = 22 …(ii)


Solving the linear equations (i) and (ii), we get


a + d – a – 6d = 2 – 22


- 5d = -20


d =4


Putting the value of d in eq. (i), we get


a + 4 = 2


a = 2 – 4 = -2


Now, we have to find the sum of first 35 terms.





S35 = 35 [-2 + 34 × 2]


S35 = 35 [66]


S35 = 2310


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