Consider the infinite series sigma ^infinity _k = 1 1/7^k a. find the first four terms of the sequence of partial sums. b. use the results of part (a) to propose a formula for s_n. c. propose a value of the series. a. find the first four terms of the sequence of partial sums. s_1 =, s_2 =, s_3 =, s_4 = (simplify your answers.) b. use the results of part (a) to propose a formula for s_n. a. s_n = 7^n - 1/6 middot 7^n b. s_n = 7n/7^n c. s_n = n/7^n d. s_n = 6 middot 7^n/7^n - 1 c. propose a value of the series. a reasonable conjecture for the value of the series is

The height of a birch tree, f(x), in inches, after x months is shown in the graph below. how much does the birch tree grow per month, and what will be the height of the birch tree after 10 months? a. the birch tree grows 1 inch per month. the height of the birch tree will be 16 inches after 10 months. b. the birch tree grows 2 inches per month. the height of the birch tree will be 26 inches after 10 months. c. the birch tree grows 3 inches per month. the height of the birch tree will be 36 inches after 10 months. d. the birch tree grows 2 inches per month. the height of the birch tree will be 24 inches after 10 months.