Sentence examples for arithmetic sequence from inspiring English sources

Or, if (x1,x2,x5) is an arithmetic sequence then it's not possible for (x1,x3,x4) to also be an arithmetic sequence.

The main insight here is that some of these configurations are inconsistent, e.g., if (x1,x2,x3) is an arithmetic sequence then it's not possible for (x1,x2,x4) to also be an arithmetic sequence.

Now try to discover a "Twoland" reason why consecutive numbers in the sequence must be relatively prime, or why each row is a palindrome, or why each column is an arithmetic sequence.

If you take the point of view that each triple (i,j,k) might be either an arithmetic sequence or not, then there are 56 = B 8,3) such triples, and therefore 256 possible configurations (each triple is either a sequence or it isn't).

By correlating the geometric sequence of numbers a, a2, a3,…(a is called the base) and the arithmetic sequence 1, 2, 3,…and interpolating to fractional values, it is possible to reduce the problem of multiplication and division to one of addition and subtraction.

Integration by the arithmetic sequence (The first kind of solution).

Examples include the arithmetic sequences When new series are formed from the sums of the terms of these series, the results are, respectively, These series are not arithmetic sequences but are seen to be the polygonal triangular and square numbers.

In his work of 1619 Napier presented an interesting kinematic model to generate the geometric and arithmetic sequences used in the construction of his tables.

Using (2.2), the increments of the arithmetic sequences x j and x k, i.e., Δx = Δx j = Δx k, are Δ x = 1 n.

where angular arithmetic sequences φ j and φ k are respectively φ j = 2 j n π, (2.9) φ k = 2 k n π. (2.10).

where angular arithmetic sequences θ k and φ j are respectively θ k = k n π, φ j = 2 j n π. (3.26).