• In mathematics, a telescoping series is a series whose general term t n {\displaystyle t_{n}} is of the form t n = a n + 1 − a n {\displaystyle t_{n}=a_{n+1}-a_{n}}...
    10 KB (1,892 words) - 13:49, 18 September 2024
  • Telescopic cylinder Telescoping (mechanics) Telescoping (rail cars), collision event where a car is displaced into interior of another Telescoping effect, in which...
    2 KB (218 words) - 16:08, 6 July 2024
  • Thumbnail for Telescoping bolt
    magazine located in the grip that do not use a telescoping bolt, such as Kel-Tec SUB-2000. The telescoping bolt concept first appeared on semi-automatic...
    5 KB (695 words) - 18:58, 20 August 2024
  • {\pi }{4}},} the Leibniz formula for π . {\displaystyle \pi .} A telescoping series ∑ n = 1 ∞ ( b n − b n + 1 ) {\displaystyle \sum _{n=1}^{\infty }(b_{n}-b_{n+1})}...
    70 KB (11,502 words) - 09:39, 21 October 2024
  • the reciprocals of the positive pronic numbers (excluding 0) is a telescoping series that sums to 1: ∑ i = 1 ∞ 1 i ( i + 1 ) = 1 2 + 1 6 + 1 12 + 1 20...
    9 KB (1,003 words) - 11:01, 15 October 2024
  • Thumbnail for Triangular number
    \over {n^{2}+n}}=2.} This can be shown by using the basic sum of a telescoping series: ∑ n = 1 ∞ 1 n ( n + 1 ) = 1. {\displaystyle \sum _{n=1}^{\infty }{1...
    24 KB (3,407 words) - 17:40, 8 October 2024
  • Thumbnail for Associative property
    Light's associativity test Telescoping series, the use of addition associativity for cancelling terms in an infinite series A semigroup is a set with an...
    25 KB (3,389 words) - 00:21, 24 September 2024
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    Webb's orientation. On 31 December 2021, the ground team extended the two telescoping "mid booms" from the left and right sides of the observatory. The left...
    213 KB (19,829 words) - 16:04, 3 October 2024
  • consecutive integers) (excluding 0) is 1 (see Telescoping series). The n-th partial sum of the harmonic series, which is the sum of the reciprocals of the...
    15 KB (2,133 words) - 13:49, 14 September 2024
  • Thumbnail for Tetrahedral number
    tetrahedral numbers' reciprocals is ⁠3/2⁠, which can be derived using telescoping series: ∑ n = 1 ∞ 6 n ( n + 1 ) ( n + 2 ) = 3 2 . {\displaystyle \sum _{n=1}^{\infty...
    10 KB (1,341 words) - 02:07, 20 July 2024