Show that each of the following sequences is an A.P. Also, find the common difference and write 3 more terms in each case.

A.P is known for Arithmetic Progression whose common difference = an – an-1 where n > 0






As, a2 – a1 = a3 – a2 = a4 – a3


The given sequence is A.P


Common difference, d


To find next three more terms of A.P, firstly find an


We know, an = a + (n-1) d where a is first term or a1 and d is common difference







When n = 5:





⇒ a5 = 4


When n = 6:





When n = 7:







6