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

√2,3√2,5√2,7√2,........

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Given,

√2,3√2,5√2,7√2,........

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 = a2 - a1 = 2√2

To find the next three more terms of A.P, 

Firstly find an 

We know, 

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

When n = 5 :

When n = 6 :

When n = 7 :

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