Find the first term and common difference for each of the A.P.
`1/4,3/4,5/4,7/4`, …..

Answer

The first term `a=(1)/(4)andd=(1)/(2)`,

Explanation

Here, `a=t_(1)=(1)/(4),t_(2)=(3)/(4),t_(3)=(5)/(4), t_(4)=(7)/(4),...`
`d=t_(2)-t_(1)=(3)/(4)-(1)/(4)=(3-1)/(4)=(2)/(4)=(1)/(2),`
`d=t_(3)-t_(2)=(5)/(4)-(3)/(4)=(5-3)/(4)=(2)/(4)=(1)/(2),`
`d=t_(4)-t_(3)=(7)/(4)-(5)/(4)=(7-5)/(4)=(2)/(4)=(1)/(2),`