Question

Show that each of the following progression is an AP. Find the commomn difference and next 3 terms of each.sqrt9,sqrt28,sqrt63

Answer 1

Hi  Friend !!!

Given Sequence:-

√9, √28, √63,.......or 3, 2√7, 3√7, ........

Let us check whether it forms AP or not :- 
a₂ - a₁ = 2√7 - 3
a₃ - a₂ = 3√7 - 2√7 = √7

As a₂ - a₁ is not equal to a₃ - a₂. So it does not form an AP.

Hope it helps.....

Answer 2

Hi  Friend !!!

Given:-

√9, √28, √63,.......
By solving,
3, 2√7, 3√7, ........

Now,
a₂ - a₁
 = 2√7 - 3

a₃ - a₂
= 3√7 - 2√7 = √7

As a₂ - a₁ is not equal to a₃ - a₂. So, the given sequence does not form an AP.
Hope I helped You....