AnswersMathematics IGeometric Sequences

Geometric Sequences — Quiz Answers

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1
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negative 81 comma 108 comma negative 144 comma 192 comma dot dot dot Which formula can be used to describe the sequence?

A
f of x is equal to negative 81 times 3 fourths raised to the x minus 1 power
B
f of x is equal to negative 81 times open paren negative 4 thirds close paren raised to the x minus 1 power
C
f of x is equal to negative 81 times 4 thirds raised to the x minus 1 power
D
f of x is equal to negative 81 times open paren negative 3 fourths close paren raised to the x minus 1 power
2
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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

A
f of open paren x plus 1 close paren is equal to 1 half f x
B
f of open paren x plus 1 close paren is equal to 2 f x
C
f of open paren x plus 1 close paren is equal to negative 2 f x
D
f of open paren x plus 1 close paren is equal to negative 1 half f x
5

Which graph represents a geometric sequence?

A
Image with description On a coordinate plane, 3 points are plotted. The points are (1 comma 2), (4 comma 4), (9 comma 6).
B
Image with description On a coordinate plane, 5 points are plotted. The points are (1 comma 1), (2 comma 3), (3 comma 5), (4 comma 7), (5 comma 9).
C
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).
D
Image with description On a coordinate plane, 3 points are plotted. The points are (1 comma 1), (2 comma 4), (3 comma 9).
6

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?

A
f of x is equal to 3 times 4 raised to the x minus 1 power
B
f of x is equal to 4 times 3 raised to the x minus 1 power
C
f of x is equal to 12 times 4 to the x th power
D
f of x is equal to 4 times 12 to the x th power
7

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?

A
f of x is equal to 48 times 5 sixths raised to the x minus 1 power
B
f of x is equal to 64 times 3 fourths raised to the x minus 1 power
C
f of x is equal to 48 times 3 fourths raised to the x minus 1 power
D
f of x is equal to 64 times 5 sixths raised to the x minus 1 power
8

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?

A
f of x is equal to 3 halves f open paren x plus 1 close paren
B
f of open paren x plus 1 close paren is equal to 3 halves f x
C
f of open paren x plus 1 close paren is equal to 5 halves f x
D
f of x is equal to 5 halves f open paren x plus 1 close paren

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