Question

Write the next five terms√ 2, √8, √18,....

Answer 1

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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