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
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
\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
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
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
List of sums of reciprocals (section Convergent series)
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
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