Question

3) Does the sequence given below forms
an AP? If they form AP, find common
difference d & write 3 more terms.
√2,√8,√18,√32,---​

Answer 1

Answer:

yes

common difference is √2

Step-by-step explanation:

the definition of an A.P is that basically, all the terms should differ by a common real number

now, coming to the question,

at first glance it looks like it does not form an A.P, right?

but if you look closely, you will find your initial assumption was wrong

this is because you have not simplified the terms

(check attachment)

looking at the new A.P , it is obvious that they are in A.P and that the common difference is √2

a common confusion people have is that how can the common difference be irrational?

let me clarify; the common difference need not be rational

it can be irrational also

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