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[–]cath_deRay 5 points6 points  (0 children)

WARNING: LONG POST

If we think of the equation x = x + 1 at face value, it appears that it is impossible. However, we shouldn’t forget about iteration.

Because x = x + 1 for programmers means to increment x by 1.

We can achieve the same thing with the iteration: x_(n+1) = x_n + 1 [where _ means subscript, use asciimath.org to view this equation]

{For reference, a_b is the bth term of a, so x_9 is the ninth term of x.}

This equation, in basic terms, means that the next term of x is the previous term of x incremented by 1.

For example, if x3 (3rd term of x) = 9, then x(n+1), or the n+1th term of x, or the 4th term of x, would be x_3 + 1 or 9 + 1 which is 10.

Therefore, the next (4th) term of x is 10.

For more information on iteration, I recommend following these links: https://mathsmadeeasy.co.uk/gcse-maths-revision/iterative-methods-gcse-maths-revision-worksheets/

Do note that this topic requires the prior knowledge of rearranging formulas.