Compare the ratios 3:8 and 1:2 1. write ratios as fractions. 3:8 and 1:2 2. find a common denominator. 2 is a faction of 8, so the common denominator is 8. which comparison correctly compares the ratio 3:8 and 1:2? A) 3:8 > 1:2 B) 3:8 = 1:2 C)3:8 < 1:2 Im only in 6th grade and im doing this

Step-by-step explanation:

Given

Required

Compare both ratios

Multiply ratio 2 by 4

This gives:

Write both ratios as fractions

Get decimal equivalent:

Comparing both, we have that

Conclusively;

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}