Suppose an and bn are series with positive terms and bn is known to be convergent. (a) If an > bn for all n, what can you say about an ? Why? an converges by the Comparison Test. an converges if and only if an ≤ 2bn. We cannot say anything about an . an converges if and only if an ≤ 4bn. an diverges by the Comparison Test. (b) If an < bn for all n, what can you say about an ? Why? an converges if and only if bn 4 ≤ an ≤ bn. an converges if and only if bn 2 ≤ an ≤ bn. an converges by the Comparison Test. an diverges by the Comparison Test. We cannot say anything about an .

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.

Maria found the least common multiple of 6 and 15. her work is shown below. multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . multiples of 15: 15, 30, 45, 60, . . the least common multiple is 60. what is maria's error?

The equation line of cd is y=-2x-2. write an equation of a line parallels to line cd in slope-intercept form that contains point (4,5)