While sorting some buttons, Erica put 35 buttons in the first box, 105 buttons in the second box, 315 buttons in the third box, and 945 buttons in the fourth box. What kind of sequence is this

We conclude that 35, 105, 315, 945,... is a geometric sequence.

Step-by-step explanation:

Given that Erica put 35 buttons in the first box, 105 buttons in the second box, 315 buttons in the third box, and 945 buttons in the fourth box.

So, the sequence becomes

35, 105, 315, 945,...

Computing the ratios of all the adjacent terms

The ratio of all the adjacent terms is the same and equal to

Thus, the given sequence represents the geometric sequence.

Therefore, we conclude that 35, 105, 315, 945,... is a geometric sequence.

b

step-by-step explanation:

the word superfluous means unnecessary

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)