Prove that for any random variable Z taking values in the range {1, 2, 3, . . .}, E(Z) = (Σ from i = 1 to infinity) P(Z ≥ i)?

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How would I even begin proving this? I've been thinking about this for an hour now with no luck.

I attempted to get E(Z) and go from there, but I can't seem to prove it