arithmetic sequence ,

It could be an arithmetic sequence.

Here denotes the arithmetic sequence 1, 2, .

Maybe an arithmetic sequence of dots, to say that they were intelligent beings and would like the sequence carried on if we had brains, too.

Note that Dirichlet's theorem does not require the prime numbers in an arithmetic sequence to be consecutive.

A simple formula exists for the Frobenius number of a set of integers in arithmetic sequence.

When examined closely, the proof is less a statement about topology than a statement about certain properties of arithmetic sequences.

Arithmetic Sequence Iterators.

(An arithmetic sequence of intervals would not sound evenly-spaced, and would not permit transposition to different keys.)

If the two resulting arithmetic sequences are represented by and respectively, and their corresponding sign variations by , then, provided , the following applies:

In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

A generalization of the falling factorial in which a function is evaluated on a descending arithmetic sequence of integers and the values are multiplied is:

In Algebra II, students learn functional notation, the laws of exponents, geometric and arithmetic sequences, factoring, logarithmic equations, mathematical induction, and sum notations.

An inductive proof for arithmetic sequences was introduced in the Al-Fakhri (1000) by Al-Karaji, who used it to prove the binomial theorem and properties of Pascal's triangle.

(This is very similar to the formula for the sum of terms of an arithmetic sequence: take the arithmetic mean of the first and last term and multiply with the number of terms.)

DASK is an acronym for Dansk Aritmetisk Sekvens Kalkulator or Danish Arithmetic Sequence Calculator.

The main proof is clever and difficult and involves the notion that two-counter machines cannot compute arithmetic sequences with non-linear growth rates (p. 15) i.e. "the function 2 grows more rapidly than any arithmetic progression."

Using the function from the Prelude, a number of small functions analogous to C's standard library, and using the Haskell syntax for arithmetic sequences, the factorial function can be expressed in Haskell as follows:

It is sometimes possible to determine set membership in a plain list in O(k) time, in a time that is independent of the total number of keys, such as when the list is known to be in an arithmetic sequence or some other computable sequence.