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4 Notes. 5 References. Toggle the table of contents. ... In mathematics, the nth-term test for divergence [1] is a simple test for the divergence of an infinite series:
1.17 Notes. 2 Examples. 3 Convergence of products. 4 See also. 5 References. ... This is also known as the nth-term test, test for divergence, or the divergence test.
The n th term describes the length of the n th run A000002: Euler's totient function ... The n th Ramanujan prime is the least integer R n for which ...
In mathematics, a recurrence relation is an equation according to which the th term of a sequence of numbers is equal to some combination of the previous terms. Often, only k {\displaystyle k} previous terms of the sequence appear in the equation, for a parameter k {\displaystyle k} that is independent of n {\displaystyle n} ; this number k ...
Beginning of the Fibonacci sequence on a building in Gothenburg. In mathematics, an integer sequence is a sequence (i.e., an ordered list) of integers.. An integer sequence may be specified explicitly by giving a formula for its nth term, or implicitly by giving a relationship between its terms.
Computation of the sum 2 + 5 + 8 + 11 + 14. When the sequence is reversed and added to itself term by term, the resulting sequence has a single repeated value in it, equal to the sum of the first and last numbers (2 + 14 = 16). Thus 16 × 5 = 80 is twice the sum.
Formally, a regular number is an integer of the form , for nonnegative integers , , and .Such a number is a divisor of (⌈ / ⌉,,).The regular numbers are also called 5-smooth, indicating that their greatest prime factor is at most 5. [2]
Roots are the opposite of exponents. The nth root of a number x (written ) is a number r which when raised to the power n yields x. That is, = =, where n is the degree of the root. A root of degree 2 is called a square root and a root of degree 3, a cube root.