Question

In the given AP , find 3 missing term : $2,...,26.$

Answer 1

Given $AP$:- $2,-,-,-,26$

$a=$ first term $=2$

$5^{th}$ term $=26$

$a+(n-1)=26$

$\Rightarrow 2+(5-1)d=26$

$\Rightarrow 2+4d=26$

$\Rightarrow d=6$

$\therefore$ The missing terms are

$a+b,a+2b$ and $a+3d$

$\Rightarrow (2+6),2+2\left(6\right)$ and $2+3\left(6\right)$

$\Rightarrow 8,4,20$

$\therefore$ missing term of $AP$ are $8,14$ and $20$