two5th graders solved 400,000 divided by 800. Carter said the answer is 500, walk inside the answer is 5,000.

Carter is correct. The answer is 500

Step-by-step explanation:

500 times 800 is 400,000 or you could just divide each of them and see which ones correct. Im not sure how to explain the dividing part since it is long division but i know that with 500 times 800 you could do 8 times 5 then add the 4 zeros thats behind 500 and 400. So you did 8 times 5 and put 40 then added the 4 zeros and you end up with 400,000.

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}