Root2, root8, root18, root32...........find the common difference.
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Heya!!!
This is Your answer.
Given Sequence :-
√2, √8, √18, √32, .......
Now,
√2
√8 = 2√2
√18 = 3√2
√32 = 4√2
We know that common difference,
d= a2 - a1 = a3 - a2 = ........
d = 2√2 - √2
= √2.
d = 3√2 - 2√2
= √2.
As, a(n+1) - a(n) is same.
So, this is an AP with common difference √2.
Hope It Helps
This is Your answer.
Given Sequence :-
√2, √8, √18, √32, .......
Now,
√2
√8 = 2√2
√18 = 3√2
√32 = 4√2
We know that common difference,
d= a2 - a1 = a3 - a2 = ........
d = 2√2 - √2
= √2.
d = 3√2 - 2√2
= √2.
As, a(n+1) - a(n) is same.
So, this is an AP with common difference √2.
Hope It Helps
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