Question

The sum 4^th and 8^th terms of an A.P. is 24 and the sum of 6^th and 10^th terms is 44. Find the A.P.

Answer 1

In the given problem, the sum of 4^th and 8^th term is 24 and the sum of 6^th and 10^th term is 44. We have to find the A.P

We can write this as,

We need to find the A.P

For the given A.P., let us take the first term as a and the common difference as d

As we know,

For 4^th term (n = 4),

For 8^th term (n = 8),

So, on substituting the above values in (1), we get,

Also, for 6^th term (n = 6),

For 10^th term (n = 10),

So, on substituting the above values in (2), we get,

Next we simplify (3) and (4). On subtracting (3) from (4), we get,

Further, using the value of d in equation (3), we get,

So here,

Therefore, the A.P. is.