Transcription of Series Formulas - mathportal.org
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Series Formulas 1. Arithmetic and Geometric Series Definitions: First term: a1 Nth term: an Number of terms in the Series : n Sum of the first n terms: Sn Difference between successive terms: d Common ratio: q Sum to infinity: S Arithmetic Series Formulas : ()11naand=+ 112iiiaaa ++= 12nnaaSn+= ()1212nandSn+ = Geometric Series Formulas : 11nnaa q = 11iiiaaa += 11nna q aSq = ()111nna qSq = 1111foaSqrq <<= 2. Special Power Series Powers of Natural Numbers ()1112nkkn n==+ () ()2111 2 16nkkn nn==++ ()2321114nkkn n==+ Special Power Series ()2311.
Series Formulas 1. Arithmetic and Geometric Series Definitions: First term: a 1 Nth term: a n Number of terms in the series: n Sum of the first n terms: S n Difference between successive terms: d Common ratio: q Sum to infinity: S Arithmetic Series Formulas: a a n dn = + −1 (1) 1 1 2 i i i a a a − + + = 1 2 n n a a S n + = ⋅ 2 11 ( ) n 2 ...
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