Question

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

Answer 1

a+3d+a+7d=24
2a+10d=24
a+5d=12
a=12-5d

a+5d+a+9d=44
2a+14d=44
2(12-5d)+14d=44
24-10d+14d=44
24+4d=44
4d=20
d=5

a=12-5(5)
a=12-25
A=-13

So ap will be -13,-9,-4,1

Answer 2

a+3d+a+7d=24

2a+10d=24

a+5d=12

a=12-5d

a+5d+a+9d=44

2a+14d=44

2 (12-5d)+14d=44

24-10d+14d=44

24+4d=44

4d=20

d=20/4

d=5

a=12-5 (5)

a=12-25

a=-13