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[DOC File]Lesson Plan: Geometric Sequences
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Using the GSP file Geometric Sequences. Click on the page marked square gasket. Find the geometric sequence for its area using each of the stages, and write an expression for the nth term. Suppose the area of the square is 1 at stage 0. Find the geometric sequence for its perimeter using each of the stages, and write an expression for the nth term.
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[DOC File]RETURN CALCULATIONS
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The geometric average return is approximately equal to the arithmetic average return less one-half the variance (i.e.,). The arithmetic mean is a better measure of average performance over single periods and the geometric mean is a better measure of the change in wealth over multiple periods.
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[DOC File]108
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The alternative is known as geometric average, or compound annual return. This takes compounding and volatility into consideration. Unfortunately, geometric average is a complicated formula, involving cube roots, so it may not be possible to figure out the results without a spreadsheet.
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[DOC File]Chain-weight GDP calculations - Holy Cross
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For each year (except the first year) calculate the chain-weight growth rate of real GDP by taking the geometric average of the two fixed-weight growth rates calculated in the previous two steps. The geometric average is the mathematically correct method of taking the average of growth rates. Declare any year a base year (b).
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[DOC File]EXCEL Functions
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Geometric/Negative Binomial Distribution =NEGBINOM.DIST(x, r, p, 0) Probability of having x failures prior to the rth success in independent Bernoulli trials with P(Success)=p. This is equivalent to observing the rth success on the (x+r)th trial. Geometric distribution arises when r = 1.
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[DOC File]Chapter 8 Notes Binomial and Geometric Distribution
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Using the formula, = = Using your calculator, geomcdf (p,X) = geomcdf(.8,3) = .992. How many people should you expect to meet before you meet the first Hawaiian? Geometric Distribution Mean: If X is a geometric random variable with probability p of success on each trial, the expected number of trials necessary to reach the first success is .
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Geometric average formula