Geometric Sequences Quiz

7 September 2022
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10 test answers

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question
-81, 108, -144, 192,... Which formula can be used to describe the sequence?
answer
f(x) = -81 (-4/3)^x-1
question
640, 160, 40, 10...Which correctly describe the graph of the geometric sequence? Select two options.
answer
The domain will be the set of natural numbers. The graph will show exponential decay.
question
Natalia is writing a recursive formula to represent the sequence 8, 12, 18, 27,... What value should she use as the common ration in the formula?
answer
3/2
question
Isaak is writing an explicit formula to represent the sequence. 64, 112, 196, 343,... What value should he use as the common ration in the formula? Write the answer as a decimal rounded to the nearest hundredth.
answer
0.75
question
A conservationist determines that a particular beach is eroding at a rate of 1.1% each year. When writing an explicit formula to represent the amount of beach remaining each year, which values should she use as the common ratio?
answer
0.989
question
-2 2/3, -5 1/3, -10 2/3, -21 1/3, -42 2/3,... Which formula can be used to describe the sequence?
answer
f(x+1) = 2f(x)
question
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.
answer
1/2
question
Lena is asked to write an explicit formula for the graphed geometric sequence. What value, written as a decimal, should Lena use as the common ratio?
answer
2.5
question
The points shown on the graph represent the numbers in a geometric sequence. What is the initial value of the sequence?
answer
2
question
Which graph represents a geometric sequence?
Which graph represents a geometric sequence?
answer
B