Question

The 4 term of an ap is 11 the sum of 5 and 7 term is 24 find common difference

Answer 1

CORRECT QUESTION:

The 4th term of an ap is 11. The sum of 5th and 7th term is 24. Find common difference.

SOLUTION:

ATQ, we have

T4 = 11

Also, T5+T7 = 24

Now, we know that ...

Tn = a+(n-1)d

So, T4 = a+(4-1)d

11 = a+3d....(1)

Also, a+4d+a+6d = 24

a+5d = 12...(2)

Subtracting (1) from (2), we get

2d = 1

d = 1/2

So, the common difference is 1/2.

Hope this helps