Question

Find the next three terms of given ap root2,root8 ,root,18

Answer 1

Ist term=√2
2nd term =√8= 2√2
3rd term= √18= 3√2
next terms are 4√2.... 5√2.... 6√2....

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Answer 2

Answer:

$\sqrt{32},\sqrt{50},\sqrt{72}$

Step-by-step explanation:

Given : $\sqrt{2} ,\sqrt{8},\sqrt{18}.....$

To Find: Find the next three terms of given A.P.

Solution:

$\sqrt{2} ,\sqrt{8},\sqrt{18}$

$\sqrt{2} ,2\sqrt{2},3\sqrt{2},....$

So, the common difference = $3\sqrt{2}-2\sqrt{2}=2\sqrt{2}-\sqrt{2}=\sqrt{2}$

So, the next three terms :

$3\sqrt{2}+\sqrt{2}=4\sqrt{2} = \sqrt{32}$

$4\sqrt{2}+\sqrt{2}=5\sqrt{2}=\sqrt{50}$

$5\sqrt{2}+\sqrt{2}=6\sqrt{2} =\sqrt{72}$

Thus the the next three terms of A.P. are  $\sqrt{32},\sqrt{50},\sqrt{72}$