Pretest

Question 1

Sebastian writes the recursive formula f of open paren x plus 1 close paren is equal to 4 f x to represent a geometric sequence whose second term is 12 Which explicit formula can be used to model the same sequence?

Revolt · Accepted Answer

C: f of x is equal to 3 times 4 raised to the x minus 1 power

Question 2

Natalia is writing a recursive formula to represent the sequence. 8 comma 12 comma 18 comma 27 comma dot dot dot What value should she use as the common ratio in the formula?

Revolt · Accepted Answer

C: 3 halves

Question 3

negative 81 comma 108 comma negative 144 comma 192 comma dot dot dot Which formula can be used to describe the sequence?

Revolt · Accepted Answer

D: f of x is equal to negative 81 times open paren negative 4 thirds close paren raised to the x minus 1 power

Question 4

Isaak is writing an explicit formula to represent the sequence. 64 comma 112 comma 196 comma 343 comma dot dot dot What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest hundredth.

Revolt · Accepted Answer

D: 1 point 7 5

Question 5

A bouncing toy reaches a height of 64 inches at its first peak, 48 inches at its second peak, and 36 inches at its third peak. Which explicit function represents the geometric sequence of the heights of the toy?

Revolt · Accepted Answer

C: f of x is equal to 64 times 3 fourths raised to the x minus 1 power

Question 6

Which graph represents a geometric sequence?

Revolt · Accepted Answer

B: Image with description On a coordinate plane, 4 points are plotted. The points are (1 comma 1), (2 comma 2), (3 comma 4), (4 comma 8).

Question 7

Pablo generates the function f of x is equal to 3 halves times 5 halves raised to the x minus 1 power to determine the x to the th th power number in a sequence. Which is an equivalent representation?

Revolt · Accepted Answer

A: f of open paren x plus 1 close paren is equal to 5 halves f x

Question 8

A conservationist determines that a particular beach is eroding at a rate of 1 point 1 percent each year. When writing an explicit formula to represent the amount of beach remaining each year, which value should she use as the common ratio?

Revolt · Accepted Answer

A: 0 point 9 8 9

Question 9

A sequence of numbers begins with 12 and progresses geometrically. Each number is the previous number divided by 2 Which value can be used as the common ratio in an explicit formula that represents the sequence?

Revolt · Accepted Answer

C: 1 half

Question 10

Which formula can be used to describe the sequence? negative 2 and 2 thirds comma negative 5 and 1 third comma negative 10 and 2 thirds comma negative 21 and 1 third comma negative 42 and 2 thirds comma dot dot dot

Revolt · Accepted Answer

D: f of open paren x plus 1 close paren is equal to 2 f x

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