Graph the six terms of a finite series where a1 = −3 and r = 1.5. graphed series showing point 1, 2.25, point 2, 3.75, point 3, 8.25, point 4, 21.75, point 5, 62.25, and point 6, 183.75 graphed series showing point 1, 1.5, point 2, 3.75, point 3, 10.5, point 4, 30.75, point 5, 91.5, and point 6, 273.75 graphed series showing point 1, negative 9, point 2, negative 12, point 3, negative 16.5, point 4, negative 23.25, point 5, negative 33.38, and point 6, negative 48.56 graphed series showing point 1, negative 3, point 2, negative 7.5, point 3, negative 14.25, point 4, negative 24.38, point 5, negative 39.56, and point 6, negative 62.34

b

step-by-step explanation:

calculate the scale factor as the ratio of corresponding sides, image to original, that is

scale factor = = = = 1

i cant see the graph

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}