Question

Which of the following are APs?

If they form an A.P. find the common difference $d$ and write three more terms.

$2,4,8,16\dots$

Answer 1

Determine if the series is in AP or not

The given A.P. is

$2,4,8,16\dots$

Here, first term, $a=2$

difference between each term is,

$$\begin{gathered} 4-2=2 \\ 8-4=4 \end{gathered}$$

As the difference between each term is not the same.

So, the series is not forming an A.P.

Hence, the given series is not an A.P.