Class 10

Math

All topics

Sequences and Series

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

$20 ,45 ,80 ,125 ,.....$.

Given progression is $20 ,45 ,80 ,125 ,....$

$45 −20 =35 −25 =5 $

$125 −80 =55 −45 =5 $

d(common difference)$=5 $

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

Here first term is $20 $.

Next term $=125 +d=125 +5 =55 +5 =65 $ or $180 $.