Let h(y) =y2−1 and yn be the sequence generated by the Newton-Raphson scheme for approximating the roots of h (which are clearly −1 and 1): yn+1=yn−(yn2−1)/2yn
Obtain a formula for yn in terms of n and y0
Here is my working but I seem to get back to the same position,

But when I input numbers for y_0, the results do not follow that pattern
Obtain a formula for yn in terms of n and y0
Here is my working but I seem to get back to the same position,

But when I input numbers for y_0, the results do not follow that pattern
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