Stitz-Zeager_College_Algebra_e-book

# 13 and equation 101 the reader may well wonder what

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Unformatted text preview: n. (a) 8 + 11 + 14 + 17 + 20 (b) 1 − 2 + 3 − 4 + 5 − 6 + 7 − 8 x3 x5 x7 + − (c) x − 3 5 7 (d) 1 + 2 + 4 + · · · + 229 (e) 2 + 3 2 + 4 3 + 5 4 + 6 5 (f) − ln(3) + ln(4) − ln(5) + · · · + ln(20) 1 1 25 − 36 1 1 21 31 4 2 (x − 5)+ 4 (x − 5) + 6 (x − 5) + 8 (x − 5) (g) 1 − (h) 1 4 + 1 9 − 1 16 + 3. Find the sum of the ﬁrst 10 terms of the following sequences. (a) an = 3 + 5n (b) bn = 1n 2 (c) cn = −2n + 5n 3 4. Express the following repeating decimals as a fraction of integers. (a) 0.7 (b) 0.13 (c) 10.159 (d) −5.867 5. If monthly payments of \$300 are made to an ordinary annuity with an APR of 2.5% compounded monthly what is the value of the annuity after 17 years? 6. Prove the properties listed in Theorem 9.1. 7. Show that the formula for the future value of an annuity due is (1 + i)nt − 1 i A = P (1 + i) 8. Discuss with your classmates the problems which arise in trying to ﬁnd the sum of the following geometric series. When in doubt, write them out! ∞ ∞ k−1 (a) 2 k=1 ∞ k−1 (b) (1.0001) k=1 (−1)k−1 (c) k=1 572 9.2.2 Sequences and the Binomial Theorem Answers (c) 63 1. (a) 213 (b) 341 280 (e)...
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