Question

write the next term of A.P root2 ,root18........

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Answer 1

AP: √2 , √18

√18= 3√2

$\therefore$ d= 3√2-√2

$\implies$ d=2√2

$\implies$ $a_3= a+2d$

$\implies$ $a_3= \sqrt{2}+ 2(2\sqrt{2})$

$\implies$ $a_3= 5\sqrt{2}$

$\implies$ $a_3=\sqrt{50}$

Answer 2

Answer:

$5\sqrt{2}$

Step-by-step explanation:

A.P root2 ,root18........

$First \: Term = \sqrt{2} \\\\Second \: Term = \sqrt{18} \\\\\sqrt{18} = \sqrt{2\times3\times3} \\\\\sqrt{18} = 3\sqrt{2} \\\\d = second \: term - \: first term\\\\d = 3\sqrt{2} -\sqrt{2}\\\\d = 2\sqrt{2}\\\\next \: term \: would \: be \\\\\sqrt{18} + d\\= 3\sqrt{2} + 2\sqrt{2} \\\\= 5\sqrt{2}$