SOMEONE GOOD AT MATH PLEASE HELP ME TODAY ASAP WILL GIVE BRAINLIEST Provide the reason for Step 4 in the following proof.

Prove:

Chart with two columns and four rows. The first column is labeled Statements and the second column is labeled Reasons. First column row one: negative open parenthesis a plus b close parenthesis plus a equals negative a plus negative b plus a. Second column row one: Distributive property. First column row two - equals negative a plus negative b. Second column row two - Communicative Property of Addition. First column row three - equals zero plus negative b. Second column row three - Additive Inverse Property. First column row four - equals negative b. The second column row four is blank.

Additive Inverse Property

Commutative Property of Addition

Identity Property of Addition

Definition of Subtraction

Identity Property of Addition

Step-by-step explanation:

The identity property of addition says that the sum of 0 and any number is that number. This is true because the definition of 0 is "no quantity", so when we add 0 to -b, the quantity of -b doesn't change!

option: d is correct

step-by-step explanation:

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}