Write the next five terms √2,√ 8, √18,....
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SOLUTION
TO DETERMINE
The next five terms of √2, √8, √18,...
EVALUATION
Here the given progression is √2, √8, √18,..
First term = √2
Second Term = √8 = 2√2
Third term = √18 = 3√2
So this is an arithmetic progression with
First term = √2 and common difference = √2
4 th term = 3√2 + √2 = 4√2 = √32
5 th term = 4√2 + √2 = 5√2 = √50
6 th term = 5√2 + √2 = 6√2 = √72
7 th term = 6√2 + √2 = 7√2 = √98
8 th term = 7√2 + √2 = 8√2 = √128
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