arithmetic progression

We will find three elements of in arithmetic progression that are the same color.

Therefore, the cost of exchanges increases in arithmetic progression: 1, 2, 3 and so on.

The following table lists several arithmetic progressions and the first few prime numbers in each of them.

This can also be proved as an Arithmetic Progression with common difference 2.

A is a large set) then A contains arithmetic progressions of any given length.

Knowledge of arithmetic progressions is also evident from the mathematical sources.

Any given arithmetic progression of primes has a finite length.

The sieve may be used to find primes in arithmetic progressions.

The standard deviation of any arithmetic progression can be calculated via:

This theorem states that there are arbitrarily long arithmetic progressions of prime numbers.

This can be simplified, using the formula for the sum of an arithmetic progression:

The 30-60-90 triangle is the only right triangle whose angles are in an arithmetic progression.

The sum of a finite arithmetic progression is called an arithmetic series.

This can always be achieved by defining b to be the first prime in the arithmetic progression.

Suppose there was a break in the line, an insertion from another plane that voided the arithmetic progression?

If you add a , then the , , and are in arithmetic progression.

An arithmetic progression is a sequence of numbers in which the difference between adjacent numbers remains constant.

Altogether, the total time required to run the inner loop body can be expressed as an arithmetic progression:

Problems 39 and 40 compute the division of loaves and use arithmetic progressions.

As of 2011, the longest known arithmetic progression of consecutive primes has length 10.

Logarithms were any arithmetic progression which corresponded to a geometric progression.

Euler stated that every arithmetic progression beginning with 1 contains an infinite number of primes.

A D-dimensional arithmetic progression consists of numbers of the form:

The sequence of primes numbers contains arithmetic progressions of any length.

Dirichlet's theorem on arithmetic progressions demonstrates that this is indeed the case.