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79.9 times 100= 7990 divide by 99= 80.7070707 is this right

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Right

yes one could say though if you are into arithmetic and geometric sequences

80 + 70/100 + 70/10,000 ....
80 + .70 + .70/100 +.70/100^2 + .70/100^3 ..
= 80 + .70(1/.99) geometric sequence sum

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