Recursive Formulas — Unit test Answers

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Which recursive formula describes the sequence below?5, 13, 29, 61, 125, ...

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A sequence is defined by the explicit formula . Which recursive formula represents the same sequence of numbers?

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In a geometric sequence, and . What is the 12th term?

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A
5,616
B
354,294
C
14,350,365
D
234,812,358
4

A sequence can be defined by the explicit formula . Which recursive formula represents the same sequence of numbers?

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The amount of interest earned on an account can be represented using the recursive formula . If , and n represents the number of months the money is invested, what is the balance at the end of each month for the first three months?

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$255.00, $260.10, $265.30
B
$255.00, $260.10, $265.20
C
$255.00, $256.02, $257.04
D
$255.00, $250.00, $245.10
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Ms. Clark earned $29,600 in her third year as a banker and $32,600 in her seventh year. How much did she make in her tenth year? Assume that her yearly salaries form an arithmetic sequence.

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$28,100
B
$34,850
C
$55,550
D
$58,100
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The explicit rule for an arithmetic sequence is What is the value of the 47th term? Round to the nearest tenth, if necessary.

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–55.7
B
–26.4
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45.6
D
65.8
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Khalid wrote the sequence below.Which formula can be used to find the 10th term of the sequence?

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What is the explicit formula for the arithmetic sequence ?

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What is the range of the function graphed below?

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Which of the following accurately lists all discontinuities of the function below?

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point discontinuity at x = –2
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point discontinuity at x = 4; jump discontinuity at x = –2
C
point discontinuities at x = –4 and x = 4; jump discontinuity at x = –2
D
jump discontinuities at x = –4, x = –2, and x = 4
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The first term of a geometric sequence is –2 and the common ratio is . What are the next three terms of the sequence?

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The equation of the piecewise function f(x) is below. What is the value of f(–2)?

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f(–2) = –6
B
f(–2) = –4
C
f(–2) = 0
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f(–2) = 3
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Which of the following represents a geometric sequence? I II III IV

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I
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IV
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What is the missing value in the following arithmetic sequence?n12345an23.85.6 9.2

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7.1
B
7.2
C
7.4
D
7.5

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