What should be the value of $a$ to make the series $2,\ a,\ 8,...$ to be in AP.

Given:  $2,\ a,\ 8,...$ are in AP.

To do: To find the value of $a$.

Solution:

$\because 2,\ a,\ 8,.....$ is an A.P.

$\therefore a-2=8-a$

$\Rightarrow a+a=8+2$

$\Rightarrow 2a=10$

$\Rightarrow a=\frac{10}{2}$

$\Rightarrow a=5$

Thus $a=5$.

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Updated on: 10-Oct-2022

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