exam Maths Puzzle Numerical Ability

List the first five terms of the sequence defined recursively by (1) v0 = 0, and (2) for k>=1,vk = v^2(k−1) − v(k−1) + 1.

The first term is given for V0, so I

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square root of 2 divided by the square root of 6 plus 2 A patch of lily pads doubles its size each day after it starts growing in the pond. If a pond was completely covered just today, what part of it was covered in lily pads five days ago?