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is the sum of an arithmetico-geometric series defined by = =, =, and =, and it converges to =. This sequence corresponds to the expected number of coin tosses required to obtain "tails". The probability T k {\displaystyle T_{k}} of obtaining tails for the first time at the k th toss is as follows:
For a variety of reasons some Form 1099 reports may include amounts that are not actually taxable to the payee. A typical example is Form 1099-S for reporting proceeds (not gain) from real estate transactions. The Form 1099-S preparer will report the sales proceeds without regard to the amount of the taxpayer's "basis" in the real estate sold.
The first block is a unit block and the dashed line represents the infinite sum of the sequence, a number that it will forever approach but never touch: 2, 3/2, and 4/3 respectively. A geometric progression , also known as a geometric sequence , is a mathematical sequence of non-zero numbers where each term after the first is found by ...
The Marshall-Edgeworth index, credited to Marshall (1887) and Edgeworth (1925), [11] is a weighted relative of current period to base period sets of prices. This index uses the arithmetic average of the current and based period quantities for weighting. It is considered a pseudo-superlative formula and is symmetric. [12]
The most commonly used index from the family, FGT 2, puts higher weight on the poverty of the poorest individuals, making it a combined measure of poverty and income inequality and a popular choice within development economics. The indices were introduced in a 1984 paper by economists Erik Thorbecke, Joel Greer, and James Foster. [1] [2]
The Foster–Greer–Thorbecke metric is the general form of the PGI. The formula raises the summands to the power alpha, so that FGT0 is the headcount index, FGT1 the PGI and FGT2 the squared PGI. Squared poverty gap index, also known poverty severity index or , is related to poverty gap index. It is calculated by averaging the square of the ...
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