In mathematics, the nth-term test for divergence is a simple test for the divergence of an infinite series: If lim n → ∞ a n ≠ 0 {\displaystyle \lim _{n\to...

The test is inconclusive if the limit of the summand is zero. This is also known as the nth-term test, test for divergence, or the divergence test. This...

=e} One of the simplest tests for convergence of a series, applicable to all series, is the vanishing condition or nth-term test: If lim n → ∞ a n ≠ 0 {\textstyle...

In mathematics, an nth root of a number x is a number r (the root) which, when raised to the power of the positive integer n, yields x: r n = r × r ×...

question either mechanically (every nth word) or selectively, depending on exactly what aspect it is intended to test for. The methodology is the subject...

Kennedy drew a direct link between continued testing and nuclear proliferation, calling it the "'Nth-country' problem." While a candidate, Kennedy had...

PlanetMath Another proof that nth roots of integers are irrational, except for perfect nth powers by Scott E. Brodie The Rational Roots Test at purplemath.com...

figurate number, other examples being square numbers and cube numbers. The nth triangular number is the number of dots in the triangular arrangement with...

83 and 461. We can derive this test from the formula for the nth pentatope number. Given a positive integer x, to test whether it is a pentatope number...

and then cuts off the series after the T N {\displaystyle T_{N}} term, one gets an Nth-degree polynomial approximating f(x). The reason this polynomial...

construction of pentagonal numbers are not rotationally symmetrical. The nth pentagonal number pn is the number of distinct dots in a pattern of dots...

The Graduate Record Examinations (GRE) is a standardized test that is part of the admissions process for many graduate schools in the United States and...

code as b^n, and may also be called "b raised to the nth power", "b to the power of n", "the nth power of b", or most briefly "b to the n". The above...

terms are the natural numbers 1 + 2 + 3 + 4 + ⋯ is a divergent series. The nth partial sum of the series is the triangular number ∑ k = 1 n k = n ( n +...

terms of a Taylor series is a polynomial of degree n that is called the nth Taylor polynomial of the function. Taylor polynomials are approximations...

arrange the elements of the columns so that the nth column corresponds to the inverse of the element in the nth row. In our example of D3, we need only switch...

average, without speculating on global linkages; he never actually used the term "six degrees of separation". Since the Psychology Today article gave the...

global issues List of nuclear weapons List of states with nuclear weapons Nth Country Experiment Nuclear blackout Nuclear bunker buster Nuclear weapons...

pn# − 1 is a primorial prime, it means that there are larger primes than the nth prime (if neither is a prime, that also proves the infinitude of primes,...

pre-eminent engineering university, the Norwegian Institute of Technology (NTH) which was established by Parliament in 1910 as Norway's national engineering...

61, 91, 127, 169, 217, 271, 331, 397, 469, 547, 631, 721, 817, 919. The nth centered hexagonal number is given by the formula H ( n ) = n 3 − ( n − 1...

the table below, "na" is shorthand for the "nth rank, primary" (正n品), which is a higher sub-rank than "nth rank, secondary" (從n品), denoted as "nb" in the...

discussion of doomsday machines, Kahn raises the problem of a nuclear-armed Nth country triggering a doomsday machine, and states that he didn't advocate...

Floyd Norris (October 6, 1994). "Efficiencies of scale are taken to the nth degree at Columbia". The New York Times. Retrieved August 16, 2015. Kathryn...

be seen by examining the prime factors of the binomial coefficients: the nth binomial coefficient is ( p n ) = p ! n ! ( p − n ) ! . {\displaystyle {\binom...

sum of a geometric progression's terms is called a geometric series. The nth term of a geometric sequence with initial value a = a1 and common ratio r is...

revealed to Duke Thomas that the term "meta" originated from a rudimentary hospital program used to automatically flag Nth metal toxicity found in a person's...

{1}{x}}e^{x}-\ln(x)e^{x}.\end{aligned}}} Here the second term was computed using the chain rule and the third term using the product rule. The known derivatives...

Lanka, 2017-18 / Test series / Most runs". ESPN. Archived from the original on 6 October 2017. Retrieved 11 October 2017. "Fastest to nth ODI centuries"...

algebraic operations: addition, multiplication, division, and taking an nth root. This is something of an oversimplification; because of the fundamental...