Arithmetic Sequences and Series Worksheet, Lecture notes of Calculus

Download Arithmetic Sequences and Series Worksheet and more Lecture notes Calculus in PDF only on Docsity! ©S R2a0e1c6X zKIuutYaE ]SooAfutnwmaCrheZ sLlLbCX.` R VAalPlQ ^rpipghhAtTsO IrNeUsheJrkvkezdR.Y i cMzaFdSeo ]wZigtyhW qIbnZfniunmiXtZeO NPvrPeKcqa_lHcyuzlpuwsV. Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Arithmetic Sequences and Series Name___________________________________ Date________________ Period____ -1- Determine if the sequence is arithmetic. If it is, find the common difference, the 52nd term, the explicit formula, and the three terms in the sequence after the last one given. 1) , , , , ... 2) , , , , ... 3) ,   , ,   , ... 4) , , , , ... Given the explicit formula for an arithmetic sequence find the common difference, the term named in the problem, and the recursive formula. 5) a n n Find a  6) a n       n Find a  Given two terms in an arithmetic sequence find the common difference, the explicit formula, and the recursive formula. 7) a   and a   8) a   and a   Find the missing terms in each arithmetic sequence. 9) ...,   , ___, ___, , ... 10) ..., , ___, ___, , ... ©u S2[0z1t6O cKNuQtZaa ^S[ojfrtHw]aerWey NLGLXCM.g X rAclFls TrpiggfhotWsQ Kr_eqsme[rYvsepda.O N NMKa^ddeb Iwpiltsh] AIwnWf^i^nmiBtXed uPArSeUcIaclvcjuGlcuQsT. Worksheet by Kuta Software LLC-2- Evaluate the related series of each sequence. 11) , , ,  12) , , , , , ,  Evaluate each arithmetic series described. 13) a     , d    , n 14) a  , d , n 15) a  , a n , n 16) a  , a n , n 17)  m  (m) 18)  n  (n) 19)  m  (m) 20)  k  ( k) 21)  i  (i) 22)  n  (n) Determine the number of terms n in each arithmetic series. 23) ()()()..., S n  24) ..., S n 