The geometric mean GM of a set of n positive numbers x1, x2, ... , xn is defined by:
GM =
(x1. X2 . ... . xn)1/n
Write a user-defined function that calculates the geometric mean of a set of numbers. For function name and arguments use GM=Geomean (x) , where the input argument xis a vector of numbers (any length) and the output argument GM is their geometric mean. The geometric mean is useful for calculating the average of rates. The following table gives the inflation rates in the United States from 1978 to 1987 (inflation of 7.6% means 1.076). Use the user-defined function Geomean to calculate the average inflation for the ten-year period.

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Year 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 Inflation rate 1.076 1.113 .1351.1031.062 1.032 .043 1.036 1.019 1.036