Q. 6 B5.0( 4 Votes )

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

Answer :

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

As, a_{2} – a_{1} = a_{3} – a_{2} = a_{4} – a_{3}

The given sequence is A.P

Common difference, d

To find next three more terms of A.P, firstly find a_{n}

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

When n = 5:

⇒ a_{5} = 4

When n = 6:

When n = 7:

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