Question

The sum of first 16 terms of an A.P is 112 and sum of next 14 terms is 518. Find The A.P

Answer 1

ok... so the sum of an AP is

\[S_{n} = \frac{n}{2}(2a + (n - 1)d)\]

so you wull have 2 equations

\[112 = \frac{16}{2}(2a + (16 -1) d)\]

and

\[518 = \frac{30}{2}(2a + (30 -1)d)\]

when you simplify them you will have 2 equations in 2 unknowns... solve simultaneously.

Answer 2

can you clarify.... the sum of the next 14 terms is that

30 terms = 518

or terms 17 to 30... = 518