Class 10

Math

All topics

Arithmetic Progressions

Show that the progression given below is an AP. Find the first term, common difference and the next term.

$9,15,21,27,.....$.

Given progression is $9,15,21,27,.....$

Here, $15−9=21−15=27−21=6$ (which is constant)

As common difference is same the given progression is an AP.

Here first term is $9$.

Common difference is $6$ or $d=6$

Next term $=27+d=27+6=33$.