Find the difference between 2 and the squares of (a) Verify that successive terms of the sequence

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Find the difference between 2 and the squares of

Ilin 7 17 41 99 5 12 29 70

(a) Verify that successive terms of the sequence stand in relation to each other as m does to (m + 2n)/(m + n).

(b) Verify that if m is a good approximation to √2 then (m + 2n)/(m + n) is a better one, and that the errors in the two cases are in opposite directions.

(c) Find the next three terms of the above sequence.

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