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Play ⓘ Hidden [consecutive] fifths: E C to D G. [2] Play hidden ⓘ & Play exposed ⓘ In music, consecutive fifths or parallel fifths are progressions in which the interval of a perfect fifth is followed by a different perfect fifth between the same two musical parts (or voices): for example, from C to D in one part along with G to A in a ...
Gilbreath's conjecture is a conjecture in number theory regarding the sequences generated by applying the forward difference operator to consecutive prime numbers and leaving the results unsigned, and then repeating this process on consecutive terms in the resulting sequence, and so forth.
In music, a step, or conjunct motion, [1] is the difference in pitch between two consecutive notes of a musical scale. In other words, it is the interval between two consecutive scale degrees . Any larger interval is called a skip (also called a leap ), or disjunct motion .
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No. 2 Georgia is resting its national championship hopes on backup quarterback Gunner Stockton. Coach Kirby Smart said Monday that Georgia is preparing Stockton to start in the Sugar Bowl on Jan ...
In the graph the sequence appears to be converging to a limit as the distance between consecutive terms in the sequence gets smaller as n increases. In the real numbers every Cauchy sequence converges to some limit. A Cauchy sequence is a sequence whose terms become arbitrarily close together as n gets very large.
Consecutive primes in arithmetic progression refers to at least three consecutive primes which are consecutive terms in an arithmetic progression. Note that unlike an AP-k, all the other numbers between the terms of the progression must be composite. For example, the AP-3 {3, 7, 11} does not qualify, because 5 is also a prime.
In mathematics, a telescoping series is a series whose general term is of the form = +, i.e. the difference of two consecutive terms of a sequence (). As a consequence the partial sums of the series only consists of two terms of ( a n ) {\displaystyle (a_{n})} after cancellation.