31. The above series is a geometric series with the first term as 1 / 10 and the common factor 1 / 10. 32. Geometric series are one of the simplest examples of infinite series with finite sums, although not all of them have this property.33. This equation is a perpetuity, which uses a geometric series to determine the value of a series of growing future cash flows. 34. When the value of ? is small, the relative species abundance distribution is similar to the geometric series ( high dominance ). 35. For the case of multiples of " a ", Weyl's criterion reduces the problem to summing finite geometric series . 36. If the length of the periods are equal ( monthly payments ) then the summations can be simplified using the formula for a geometric series . 37. The ratio test and the root test are both based on comparison with a geometric series , and as such they work in similar situations. 38. Just so you know, I know how to sum a geometric series to infinity and how to sum arithmetic and geometric series to n. 39. Just so you know, I know how to sum a geometric series to infinity and how to sum arithmetic and geometric series to n. 40. Other threads in the BA series are related to 0BA in a geometric series with the common factors 0.9 and 1.2.