Polly and molly are writing letters to all of the athletes they love most. they have a list of 15 athletes, and polly has already written 2 letters. molly has written 4 letters. write an equation with the variable (l) to determine how many letters they have left to write. you do not need to solve this equation.

L = 15 -2-4

Step-by-step explanation:

Hi, to answer this question we have to subtract the letters that they have already written (2 and 4) to the total number of letters they have to write (15). That expression must be equal to the number of letters they left to write (L)

Mathematically speaking

L = 15 -2-4

Feel free to ask for more if needed or if you did not understand something.

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}