Note: remember to show all the steps that you use to solve the problem. you can use the comments field to explain your work. your teacher will review each step of your response ensure you receive proper credit for your answer. note: remember to show all of the steps that you use to solve the problem. be sure to use the text box where the question mark first appears to show your mathematical work. you can use the comments field to explain your work. your teacher will review each step of your response to ensure you receive proper credit for your answer. harry rides his bike 25 start fraction 3 over 8 end fraction miles. karen rides her bike 25two-fifths miles. who rides farther?

1 1/4 hours

step-by-step explanation:

2/4 + 2/4 + 1/4 = 5/4 or 1 1/4

21

step-by-step explanation:

11279

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}