Question

Write next term of ap. √2,√8,
√18

Answer 1

Step-by-step explanation:

Given AP is:

$\sqrt{2} , \: \sqrt{8} , \: \sqrt{18}... \\ here \\ first \: term \: a = \sqrt{2} \\ common \: difference \: \\ d = \sqrt{8} - \sqrt{2} = 2 \sqrt{2} - \sqrt{2} = \sqrt{2} \\ \therefore \: next \: terms \: of \: AP\: would \: be \\</p><p> \sqrt{18}+ \sqrt{2}= 3\sqrt{2}+ \sqrt{2}\\=4\sqrt{2}\\=\sqrt{4^2 \times 2}\\=\sqrt{32}\\similarly \\4\sqrt{2}+\sqrt{2}=5\sqrt{2}=\sqrt{50}\\ \sqrt{72} \\and \: so\: on... </p><p></p><p></p><p></p><p>$