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...

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...

making his case for a test ban, Kennedy drew a direct link between continued testing and nuclear proliferation, calling it the "'Nth-country' problem." While...

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...

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...

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...