Mathegoras

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Twentieth term of a radical sequence

High school · ●●○○○ 20 pts

Consider the sequence 2\sqrt{2}, −2-2, 6\sqrt{6}, −22-2\sqrt{2}, 10\sqrt{10}, −23-2\sqrt{3}, …\ldots. Following this pattern, find the 20th number in the sequence. Round to two decimal places.

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