State the common difference d for the given A.P 3/2,1/2,-1/2-3/2- Question State the common difference d for the given A.P 3/2,1/2,-1/2-3/2…. in progress 0 Math Caroline 4 weeks 2021-08-14T08:45:34+00:00 2021-08-14T08:45:34+00:00 1 Answer 0 views 0

## Answers ( )

Tofind:–Solution:–Our A.P is

…..

We know,

Common difference = a₂ – a₁

a₁ = 3/2

a₂ = 1/2

So,

Common difference = 1/2 – 3/2

= -2/2

= -1

Verification:–We know that,

General form of A.P is

a , a + d, a + 2d , a+ 3d…….

a=3/2a + d = 3/2 + (-1) = 1/2a +2d = 3/2+2×(–1)=–1/2a+3d=3/2+3×(–1)=–3/2Therefore,

Common difference = -1