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In mathematics, the nth-term test for divergence [1] is a simple test for the divergence of an infinite series:. If or if the limit does not exist, then = diverges.. Many authors do not name this test or give it a shorter name.
This is also known as the nth-term test, test for divergence, or the divergence test. Ratio test. This is also known as d'Alembert's criterion.
In linear recurrences, the n th term is equated to a linear function of the previous terms. A famous example is the recurrence for the Fibonacci numbers , F n = F n − 1 + F n − 2 {\displaystyle F_{n}=F_{n-1}+F_{n-2}} where the order k {\displaystyle k} is two and the linear function merely adds the two previous terms.
The nth term of a geometric sequence with initial value a = a 1 and common ... Each term in a geometric series is the geometric mean of the term before it and ...
"The Nth Degree" (Star Trek: The Next Generation) "Nth Degree" (song) , a song by New York City band Morningwood A mathematically specious phrase intended to convey that something is raised to a very high exponent (as in "to the n th degree"), where n is assumed to be a relatively high number (even though by definition it is unspecified and may ...
In mathematics, an n th root of a number x is a number r which, ... An archaic term for the operation of taking nth roots is radication. [4] [5] Definition and notation
Barring that, franchising CB Bryon Murphy Jr., 27, at half the cost of Darnold, is equally sensible, especially as a bridge to a long-term deal. New England Patriots
A square whose side length is a triangular number can be partitioned into squares and half-squares whose areas add to cubes. This shows that the square of the n th triangular number is equal to the sum of the first n cube numbers. Also, the square of the n th triangular number is the same as the sum of the cubes of the integers 1 to n.