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  2. Telescoping series - Wikipedia

    en.wikipedia.org/wiki/Telescoping_series

    In mathematics, a telescoping series is a series whose general term is of the form = +, i.e. the difference of two consecutive terms of a sequence (). As a consequence the partial sums of the series only consists of two terms of ( a n ) {\displaystyle (a_{n})} after cancellation.

  3. Continuant (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Continuant_(mathematics)

    The continuant (,, …,) can be computed by taking the sum of all possible products of x 1,...,x n, in which any number of disjoint pairs of consecutive terms are deleted (Euler's rule). For example,

  4. Sequence - Wikipedia

    en.wikipedia.org/wiki/Sequence

    In the graph the sequence appears to be converging to a limit as the distance between consecutive terms in the sequence gets smaller as n increases. In the real numbers every Cauchy sequence converges to some limit. A Cauchy sequence is a sequence whose terms become arbitrarily close together as n gets very large.

  5. Arithmetic progression - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_progression

    Proof without words of the arithmetic progression formulas using a rotated copy of the blocks.. An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence.

  6. Searchers don’t expect to find Pennsylvania woman alive in ...

    www.aol.com/searchers-don-t-expect-pennsylvania...

    Pollard’s family called police at about 1 a.m. Tuesday to say she had not been seen since going out at about 5 p.m. Monday to search for Pepper, her cat.

  7. Clemson wins ACC championship, automatic playoff berth on ...

    www.aol.com/sports/clemson-wins-acc-championship...

    SMU came right back and again cut the margin to 10, finishing off a seven-play drive with a 20-yard TD catch by Matthew Hibner.After the defense forced Clemson into three-and-outs on consecutive ...