The next term of the AP \sqrt{7} , \sqrt{28} , \sqrt{63} , . .... is

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nth term of AP

Question

The next term of the $AP \sqrt{7}, \sqrt{28}, \sqrt{63}, . ....$ is

$\sqrt{70}$

$\sqrt{112}$

$\sqrt{84}$

$\sqrt{98}$

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Given terms are $\sqrt{7}, \sqrt{4 \times 7}, \sqrt{9 \times 7}, . ..., i . e ., \sqrt{7}, 2 \sqrt{7}, 3 \sqrt{7}, . ...$

So, the next term is $4 \sqrt{7} = \sqrt{4 \times 4 \times 7} = \sqrt{112}$ .