Question

Write the first four terms of the A.P. when the first term $a$ and the common difference $d$ are given as follows: $\left(iii\right)a=4,d=-3$

Answer 1

Solution.

The $nth$term of an A.P. is given by the expression,

$a_n=a+(n-1)d$

Where $a$ is the first term and $d$ is the common difference.

We have to find the first four terms of the A.P. which has $a=4,d=-3$.

$$\begin{gathered} a_1=a=4 \\ {a}_2=a+d=4+(-3)=1 \\ {a}_3=a+2d=4+2(-3)=-2 \\ {a}_4=a+3d=4+3(-3)=-5 \end{gathered}$$

Hence, the first four terms of the given A.P. are $4,1,-2,-5$.