Question

The sum of 4th and 8th terms of an A.P is 24 and the sum of 6th and 10th terms of the same A.P is 44. find the first 10 terms.

Answer 1

given
sum of 4th and 8th terms of an A.P is 24 
a+3d+a+7d=24
2a+10d=24
a+5d=12.............(1)
 the sum of 6th and 10th terms of the same A.P is 44
a+5d+a+9d=44
2a+14d=44
a+7d=22.............(2)
(2)-(1)
2d=10
d=5
a=22-35
a=-13
first ten terms are
-13,-8,-3,2,7,12,17,22,27,32