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General Term of an AP

If the follow...

Question

If the following sequence is an AP, then find the common difference.
$2, 4, 8, 16$

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Solution

Series : $2, 4, 8, 16$
$a_{2} - a_{1} = 4 - 2 = 2$
$a_{3} - a_{2} = 8 - 4 = 4$
Since $a_{2} - a_{1} \neq a_{3} - a_{2}$
$∴$ This is not a $A . P$

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