Moreover, we proved that each partial limit of this sequence is achievable on a certain subsequence of any sequence satisfying condition (20), in particular on certain subsequence of any

arithmetic sequence (Theorem 8).

An (a,d)-edge-antimagic total labeling ((a,d)-EAT for short) of G is the total labeling with the property that the edge-weights form an

arithmetic sequence starting from a and having common difference d, where a greater than 0 and d [greater than or equal to] 0 are two given integers.

Summary: TEHRAN (FNA)- A group of researchers at the Iranian University of Kashan successfully discovered the geometrical pattern governing the structures of fullerenes and carbon nanotubes and formulated the number of carbon atoms constituting fullerenes/CNTs as

arithmetic sequences.

The

arithmetic sequence has a constant rate of change while the rate of change of the geometric sequence increases or decreases.

(d) formulas for the nth term solution are considered leading to the construction of the traditional formula for the nth term of an

arithmetic sequence;

Solak, On the circulant matrices with

arithmetic sequence, International Journal of Contemporary Matematical Sciences, 5(2010), No.

A bijective mapping (Equation) is called an (Equation) -edge-antimagic vertex labeling, if the set of edge-weights (Equation) forms an

arithmetic sequence with the intial term (Equation) and the difference (Equation), where (Equation) is a positive and is a nonnegative integer.

The analogy further required that the product of the terms of a geometric progression in an MIA be matched to the sum of the terms of an

arithmetic sequence in an AIA.