Question

Check whether the following list of numbers is an AP. If yes, find its common difference:
$10,10+2^5,10+2^6,10+2^7,....$

Answer 1

Given series,

$10,10+2^5,10+2^6,10+2^7,.....$

$\Rightarrow 10,42,74,138,.......$

$42-10=32$

$74-42=32$

$138-74=68$

As the difference is not the same, the given series is not in A.P.