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  2. Ulam number - Wikipedia

    en.wikipedia.org/wiki/Ulam_number

    Apart from 1 + 2 = 3 any subsequent Ulam number cannot be the sum of its two prior consecutive Ulam numbers. Proof: Assume that for n > 2, U n−1 + U n = U n+1 is the required sum in only one way; then so does U n−2 + U n produce a sum in only one way, and it falls between U n and U n+1.

  3. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two numbers that precede it. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted F n .

  4. Numeric precision in Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Numeric_precision_in...

    In the third line, one is subtracted from the sum using Excel. Because the sum has only eleven 1s after the decimal, the true difference when ‘1’ is subtracted is three 0s followed by a string of eleven 1s. However, the difference reported by Excel is three 0s followed by a 15 digit string of thirteen 1s and two

  5. Summation - Wikipedia

    en.wikipedia.org/wiki/Summation

    For example, summation of [1, 2, 4, 2] is denoted 1 + 2 + 4 + 2, and results in 9, that is, 1 + 2 + 4 + 2 = 9. Because addition is associative and commutative , there is no need for parentheses, and the result is the same irrespective of the order of the summands.

  6. Prefix sum - Wikipedia

    en.wikipedia.org/wiki/Prefix_sum

    Express each term of the final sequence y 0, y 1, y 2, ... as the sum of up to two terms of these intermediate sequences: y 0 = x 0, y 1 = z 0, y 2 = z 0 + x 2, y 3 = w 1, etc. After the first value, each successive number y i is either copied from a position half as far through the w sequence, or is the previous value added to one value in the ...

  7. Geometric series - Wikipedia

    en.wikipedia.org/wiki/Geometric_series

    When =, the terms take two values and alternately, and therefore the sequence of partial sums of the terms oscillates between the two values and 0. One example can be found in Grandi's series . When r = i {\displaystyle r=i} and a = 1 {\displaystyle a=1} , the partial sums circulate periodically among the values 1 , 1 + i , i , 0 , 1 , 1 + i ...

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  9. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    The addition of two whole numbers results in the total amount or sum of those values combined. The example in the adjacent image shows two columns of three apples and two apples each, totaling at five apples. This observation is equivalent to the mathematical expression "3 + 2 = 5" (that is, "3 plus 2 is equal to 5").

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