**TI83F* AppVariable file 03/21/07, 14:417 & GLA211& $ nav 26CE319875DD4F1B9DFDCB650E5220B1GLA211.GLA2111  arithmetic mean Zarithmetic mean:ÖThe terms between any two nonconsecutive terms of an arithmetic sequence. arithmetic sequenceÄarithmetic sequence:ÖA numerical pattern that increases or decreases at a constant rate or value. The difference between successive terms of the sequence is constant.ÖExample: 2, 5, 8, 11, 14, ... arithmetic seriesLarithmetic series:ÖThe indicated sum of the terms of an arithmetic sequence. common difference^common difference:ÖThe difference between any two consecutive terms in an arithmetic sequence.  common ratioUcommon ratio:ÖThe quotient between any two consecutive terms in a geometric sequence. convergent series>convergent series:ÖAn infinite series that has a sum or limit.  factorialËfactorial:ÖThe expression of n!, read n factorial, where n is greater than zero, is the product of all positive integers beginning with n and counting backward to 1.ÖExample:Ö5! = 5 4 3 2 1 = 120 Fibonacci sequenceˆFibonacci sequence:ÖA sequence in which the first two terms are 1 and each of the additional terms is the sum of the two previous terms.  geometric meanWgeometric mean:ÖMissing terms between two nonconsecutive terms in a geometric sequence.  geometric sequenceÓgeometric sequence:ÖA sequence in which each term after the nonzero first term is found by multiplying the previous term by a constant called the common ratio r, where r  0 or 1.ÖExample: 1, 4, 16, 64, 256, ...  geometric seriesIgeometric series:ÖThe indicated sum of the terms of a geometric sequence.  infinite seriesHinfinite series:ÖThe indicated sum of the terms of an infinite sequence.  mathematical induction†mathematical induction:ÖA method of proof that depends on a recursive process and is used to prove statements about positive integers. Pascal's triangle Pascal's triangle:ÖA triangular array of numbers such that theÖ(n + 1)th row is the coefficient of the terms of the expansion Ö(x + y)^n for Ön = 0, 1, 2, ... . recursive formulavrecursive formula:ÖA formula used for determining the next term of a sequence using one or more of the previous terms. sequence/sequence:ÖA set of numbers in a specific order. series+series:ÖThe sum of the terms in a sequence. sigma notationƒ !³sigma notation:ÖFor any sequence Öa1, a2, a3, ..., the sum of the first k terms may k be written as shown in the image, and is read as "the summation fromÖn = 1 to k of a(sub n)." term in a sequence.term in a sequence:ÖEach number in a sequence.8`€€À À €á@”€0MÔ˜"¨à¤ŠÉQT€À(@€(€00À+(+„‚@@@ *ŠT€F`f ¤¦IP*̘¢ŠQTÆȪI`*¨ÂJQTŠˆªI@¦Œ¢…QVfhE&4 ­º