**TI83F* AppVariable file 12/24/08, 18:31v eGLA211ecnav 26CE319875DD4F1B9DFDCB650E5220B1GLA211.&GLA2111  arithmetic means [arithmetic means:ÖThe terms between any two nonconsecutive terms of an arithmetic sequence. arithmetic sequenceÅarithmetic 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: Ö2, 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. divergent seriesFdivergent series:ÖAn infinite geometric series that does not have sum. explicit formulaNexplicit formula:ÖGives a(sub)n as a function of n, such as a(sub n) = 3n + 1.  Fibonacci sequence°Fibonacci 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.ÖExample: Ö1, 1, 2, 3, 5, 8, 13, 21. . .  finite sequenceAfinite sequence:ÖA sequence containing a limited number of terms.  geometric meansWgeometric means:ÖThe terms between any two nonsuccessive terms of a geometric sequence.  geometric sequenceÔgeometric 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: Ö1, 4, 16, 64, 256, ...  geometric seriesIgeometric series:ÖThe indicated sum of the terms of a geometric sequence. induction hypothesisginduction hypothesis:ÖThe assumption that a statement is true for some positive integer k, where k  n. infinite sequence9infinite sequence:ÖA sequence that continues without end. infinity2infinity:ÖWithout bound, or continues without end.  iterationFiteration:ÖThe process of composing a function with itself repeatedly. mathematical induction†mathematical induction:ÖA method of proof that depends on a recursive process and is used to prove statements about positive integers.  partial sum6partial sum:ÖThe sum of the first n terms of a series. Pascal's triangle¤Pascal's triangle:ÖA triangular array of numbers such that the (n + 1)th row is the coefficient of the terms of the expansion Ö(x+y)^n for n = 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. recursive sequenceerecursive sequence:ÖA sequence in which each term is determined by 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 notation !±sigma notation:ÖFor any sequence Öa1, a2, a3, ..., the sum of the first k terms may be written as shown in the image, and is read as "the summation fromÖn = 1 to k of a(sub n)." term term:ÖEach number in a sequence.8`€€À À €á@”€0MÔ˜"¨à¤ŠÉQT€À(@€(€00À+(+„‚@@@ *ŠT€F`f ¤¦IP*̘¢ŠQTÆȪI`*¨ÂJQTŠˆªI@¦Œ¢…QVfhE&4 ]