Stitz-Zeager_College_Algebra_e-book

How does this compare with the rst list you made what

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Unformatted text preview: n , k ≥ 1. We now spot this as a r r geometric sequence with first term P 1 + n and common ratio 1 + n . In retirement planning, it is seldom the case that an investor deposits a set amount of money into an account and waits for it to grow. Usually, additional payments of principal are made at regular intervals and the value of the investment grows accordingly. This kind of investment is called an annuity and will be discussed in the next section once we have developed more mathematical machinery. 9.1 Sequences 9.1.1 559 Exercises 1. Write out the four terms of the following sequences. (a) an = 2n − 1, n ≥ 0 j (j +1) 2 (b) dj = (−1) (c) {5k − 2}∞ k=1 (d) (e) (f) (g) a1 = 3, an+1 = an − 1, n ≥ 1 (h) d0 = 12, dm = dm-1 , m ≥ 1 ,j≥1 100 (i) b1 = 2, bk+1 = 3bk + 1, k ≥ 1 cj (j) c0 = −2, cj = (j +1)(1+2) , m ≥ 1 j ∞ n2 +1 n+1 n=0 xn ∞ n2 n=1 ∞ ln(n) n n=1 1 an , n ≥ 1 xn+1 + sn , n (k) a1 = 117, an+1 = (l) s0 = 1, sn+1 = ≥0 (m) F0 = 1, F1 = 1, Fn = Fn-1 + Fn-2 , n ≥ 2 (...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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