1.

Find the sum ofthe first 24 terms ofthe sequence whose nth terms is given by an=343.

Answer»

As nth term of an AP isan = 3 + 2/3 n

Then, for n =1a1 = 3 + 2*1/3 = 11/3

For n = 24a24 = 3 + 2*24/3 = 3 + 16 = 19

Therefore, sum of 24 terms= 24/2(a1 + a24)= 12(11/3 + 19)= 12/3(11 + 57)= 4*68= 272

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