Error Analysis Pam and Jim are working on math homework. Their teacher gave them the following problem.
Use an inverse operation to help solve the equation xminus26equals28.
As the first step in solving, Pam writes xminus26plus26equals28plus26. Jim writes xminus26minus26equals28minus26. Who is incorrect, and why?
Choose the correct answer below.
A.
Jim is incorrect because he added 26 to each side instead of subtracting.
B.
Jim is incorrect because he subtracted 26 from each side instead of adding.
C.
Pam is incorrect because she subtracted 26 from each side instead of adding.
D.
Pam is incorrect because she added 26 to each side instead of subtracting.

26

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}