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10 November, 21:36

If you save two pennies on January 1, four pennies on January 2, six pennies on January 3, and continue this pattern for one year (not a leap year), what will be the value of your entire savings, in dollars, at the end of that one year? Express your answer as a decimal without commas.

... ?

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  1. 10 November, 21:41
    0
    The answer is

    1J, 2J, 3J, ... 29D, 30D, 31D = 365 days

    2 4 6 ...

    let be S the value of entire savings

    S = Sum 2K = 2 Sum K = 2 [365 (365+1) / 2],

    1
    because Sum K = n (n+1) / 2

    1
    finally S = 133590 pennies
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