21. The second condition means the coefficients of " f " grow no faster than a geometric series . 22. Moustache distortion will have a non-monotonic radial geometric series where for some r the sequence will change sign. 23. :See Geometric progression # Geometric series .-- Talk 22 : 25, 15 December 2006 ( UTC) 24. This geometric series of measurements progresses until Polykleitos has formed the arm, chest, body, and so on. 25. :: : Presumably my geometric series example would be a supertask, for someone with a magic random coin. 26. Taking r =-1, the generalized binomial series gives the geometric series formula, valid for | x |: 27. The same trick that gives the formula for a geometric series will give you a closed form solution for T n. 28. He computes the sum of the resulting geometric series , and proves that this is the area of the parabolic segment. 29. Then the set of all roots is given by, and their sum is given by the formula for a geometric series : 30. B " T " and the denominator " Z " is the partition function, here a geometric series