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Competitive Stats
Q31Section B (Section B)31 of 60

A Babylonian recurrence starting negative

Let {xn}n≥1\{x_n\}_{n\ge 1} be a sequence given by xn=23(xn−1+2xn−1),for n≥2,x_n=\frac23\left(x_{n-1}+\frac{2}{x_{n-1}}\right),\quad\text{for }n\ge 2, with x1=−10x_1=-10. Then which of the following statement(s) is/are correct?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.