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Honors Precalculus Chapter 14 Test Expectations Sec. 14-1: Given a few terms in a sequence or series of numbers, find more terms. Given a series, find the sum of a specified number of terms. Sec. 14-2: Represent sequences explicitly and recursively. Given information about a sequence, find a term given its term number, and find the term number of a given term. Sec. 14-3: Given a series, find a specified partial sum, or find the number of terms if the partial sum is given. Use sigma notation to write partial sums. Given a power of a binomial, expand it as a binomial series. Use mathematical induction to prove a conjecture. Use the ratio and/or comparison test to determine if a series converges or diverges. Use sequence mode or the calculator recursion feature to solve situations that are defined recursively. You should know the following equations: These items will be provided: (If needed) t n t1 n 1d t1 t n t n 1 d n t1 t n 2 t n t1r n 1 Sn t1 t n t n 1 r 1 rn Sn t1 1 r 1 if r 1 1 r n n an rbr r0 r lim Sn t1 n a b n Limit restock value % decrease 1 1 1 1 1 .. ... 2 3 4 5 n 2 2 a1 a1r a1r ...a1r ... a1r n 1 ... 1 a1 a1r a1r 2 ...a1r 2 ... a1r n 1 ... a1 (a1 d) (a1 2d) (a1 3d) ... 1 1 1 1 p p ... p .. 2 3 4 n 2 3 x x x4 xn x e 1 x ... .. 2! 3! 4! n! x2 x4 x6 x8 cos x 1 ... 2! 4! 6! 8! x3 x5 x7 x9 sin x x ... 3! 5! 7! 9! 1