Use the formula ln(1 + x) = ∞ n = 1 (−1)n − 1xn n = x − x2 2 + x3 3 − x4 4 + for |x| < 1 and your knowledge of alternating series to find the smallest n such that the partial sum sn approximates ln 3 2 to within an error of at most 10−3. confirm this using a calculator to compute both sn and ln 3 2 . (round your answers to six decimal places.)

Geometry: determine whether segment mn is parallel to segment kl. justify your answer. jm 6 mk 3 jn 8 nl 4

The graph of g(x) is a translation of y = which equation represents g(x)?

Dexter read 11 science fiction books and 5 history books. lena read 9 science fiction books and 4 history books. compare the students’ ratios of science fiction books to history books. 1. determine the ratios’ form:    science fiction books to history books 2. write the ratios as fractions:    dexter: 115; lena: 94 3. rewrite with a common denominator. 4. compare. 5. answer the question. determine which shows the correct comparison of the ratios for this problem.