Find the solution to each of these recurrence relations with the given initial conditions. use an iterative approach such as that used in example 10. a) an = −an−1, a0 = 5 b) an = an−1 + 3, a0 = 1 c) an = an−1 − n, a0 = 4 d) an = 2an−1 − 3, a0 = −1 e) an = (n + 1)an−1, a0 = 2 f ) an = 2nan−1, a0 = 3 g) an = −an−1 + n − 1, a0 = 7

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?

Answer asap ill give ! ’ a sample of radioactive material decays over time. the number of grams, y , of the material remaining x days after the sample is discovered is given by the equation y = 10(0.5)^x. what does the number 10 represents in the equation? a. the half-life of the radioactive material, in days b. the amount of the sample, in grams, that decays each day c. the time, in days, it will take for the samples to decay completely d. the size of the sample, in grams, at the time the material was discovered