Question

4 terms are in Ap whose sum is 50 and greatest number is 4 times the least number find 4 numbers

Answer 1

Let the terms be a-3d,a-d,a+d,a+3d
Sn=a-3d+a-d+a+d+a+3d=50
4a=50
a=50/4=25/2
a=25/2

a+3d=4(a-3d)
a+3d=4a-12d
15d=3a
a=5d

but a=25/2=5d
d=5/2
a=25/2
d=5/2
Numbers:-a-3d,a-d,a+d,a+3d
5,10,15,20
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