An arithmetic series is the Sum of a Sequence , , 2, ..., in which each term is computed from the
previous one by adding (or subtracting) a constant. Therefore, for ,

(1) |

(2) |

Using the Sum identity

(3) |

(4) |

(5) |

(6) |

(7) |

**References**

Abramowitz, M. and Stegun, C. A. (Eds.).
*Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.*
New York: Dover, p. 10, 1972.

Beyer, W. H. (Ed.). *CRC Standard Mathematical Tables, 28th ed.* Boca Raton, FL: CRC Press, p. 8, 1987.

Courant, R. and Robbins, H. ``The Arithmetical Progression.'' §1.2.2 in
*What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed.*
Oxford, England: Oxford University Press, pp. 12-13, 1996.

Pappas, T. *The Joy of Mathematics.* San Carlos, CA: Wide World Publ./Tetra, p. 164, 1989.

© 1996-9

1999-05-25