Hour of Math · SS1 · Unit FMP6

Sum to Infinity of a G.P.

See why a G.P. with -1 < r < 1 has a finite sum to infinity a/(1 - r), test whether a series converges, work backwards from a sum to infinity to r or a while rejecting roots with |r| >= 1, and apply the idea to recurring decimals and bouncing balls.

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