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