The Applications of Doubling and Halving in Mathematics
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Doubling and Halving
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The Concept of Doubling and Halving in Real-Life Scenarios
Doubling and halving computations are applicable in real-life situations. Chessboard versus wheat grains is a typical case involving halving and doubling. Perhaps, mathematicians apply geometric progression concepts to determine grains in a given area of the chessboard. Radioactivity is another phenomenon involving halving and doubling. Therefore, halving and doubling are concepts often used in chessboard versus wheat grains and radioactivity.
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1. Chessboard Versus Wheat Grains: Case 1
Table 1: Chessboard Square Number Versus Grains.
| Square No | Grains in that Square No. | Total Grains |
| 1 | 1 | 1 |
| 2 | 2 | 3 |
| 3 | 4 | 7 |
| 20 | ? | ? |
Grains in square number, as in Table 1, are a geometrical progression with a common ratio (i.e., r=2) and the first term (i.e., a=1). To find the
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