Question

if 3.5,a,b,0.5 are in a.p. then find the value of a&b

Answer 1

Answer:

If the given terms are in A.P then we have,

a-3.5 =b-a =0.5-b

Now, a-3.5 = b-a gives

=2a=3.5+b

=or a=(3.5+b)/2---------(1)

Now, b-a = 0.5-b gives

=a=2b-0.5--------(2)

From equating (1) and (2) equation we get,

=(3.5+b) /2=2b-0.5

=or 3.5+b=4b-1.0

=or 3b=4.5

=b=1.5

and from (2) equation we get, a=2.5