Question

What is the common difference between √2,√8,√18,√32

Answer 1

Answer:

√2

√8=√2×4=2√2

√18=√2×9=3√2

√32=√16×2=4√2

common difference=a2-a1

=2√2-√2=√2

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Answer 2

$common \: difference \: of \: an \: arithmetic \: progression = t_{n} - t_{n - 1} \\ \\ here \: \\ \sqrt{8} - \sqrt{2} = \sqrt{2} ( \sqrt{4} - 1) = \sqrt{2} (2 - 1) = \sqrt{2} \\ \sqrt{18} - \sqrt{8} = \sqrt{2} ( \sqrt{9} - \sqrt{4} ) = \sqrt{2 } \\ \sqrt{32} - \sqrt{18} = \sqrt{2} ( \sqrt{16} - \sqrt{9} ) = \sqrt{2}$

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