You’ve observed the following returns on crash-n-burn computer’s stock over the past five years: 11 percent, –10 percent, 19 percent, 18 percent, and 10 percent. a. what was the arithmetic average return on the company’s stock over this five-year period? (do not round intermediate calculations and enter your answer as a percent rounded to 1 decimal place, e. g., 32.1.) b-1. what was the variance of the company’s returns over this period? (do not round intermediate calculations and round your answer to 5 decimal places, e. g., .16161.) b-2. what was the standard deviation of the company’s returns over this period? (do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e. g., 32.16.)

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

answer: $13,622.84

step-by-step explanation: check the picture for info and stats : )