54. Number Theory The Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, … After the first two numbers, each number is the sum of the two previous numbers.

    1. What is the next term of the sequence? The eleventh term of the sequence?
    2. Open-Ended Choose two other numbers to start a Fibonacci-like sequence. Write the first seven terms of your sequence.

C Challenge

Find the common difference of each arithmetic sequence. Then find the next term.

55. 4 , x + 4 , 2 x + 4 , 3 x + 4 , … 4 comma x plus 4 comma 2 x plus 4 comma 3 x plus 4 comma dot dot dot
56. a + b + c , 4 a + 3 b + c , 7 a + 5 b + c , … eh plus b plus c comma 4 eh plus 3 b plus c comma 7 eh plus 5 b plus c comma dot dot dot

57. 1. Geometry Draw the next figure in the pattern.

       

    2. Reasoning What is the color of the twentieth figure? Explain.
    3. How many sides does the twenty-third figure have? Explain.

Standardized Test Prep

SAT/ACT

58. What is the seventh term of the arithmetic sequence represented by the rule A ( n ) = − 9 + ( n − 1 ) ( 0.5 ) ? eh open n close equals negative 9 plus open n minus 1 close open 0.5 close question mark

    1. − 7 negative 7
    2. − 6.5 negative 6.5
    3. − 6 negative 6
    4. − 5.5 negative 5.5

59. What is the solution of − 24 + s > 38 ? negative 24 plus s greater than 38 question mark

    6. s < 14 s less than 14
    7. s > 14 s greater than 14
    8. s < 62 s less than 62
    9. s > 62 s greater than 62

Short Response

60. Marta's starting annual salary is $26,500. At the beginning of each new year, she receives a $2880 raise. Write a function rule to find Marta's salary f(n) after n years. What will Marta's salary be after 6 yr?

Mixed Review

See Lesson 4-6.

Find the range of each function for the domain { − 3 , − 1.2 , 0 , 1 , 10 } . left brace negative 3 comma negative 1.2 comma 0 comma 1 comma 10 right brace .

61. f ( x ) = − 4 x f open x close equals negative 4 x
62. g ( x ) = 1 − 4 x g open x close equals 1 minus 4 x
63. h ( x ) = 3 x 2 h open x close equals 3 , x squared
64. g ( x ) = 11 − 1.5 x 2 g open x close equals 11 minus 1.5 , x squared
65. h ( x ) = 9 x + 8 h open x close equals 9 x plus 8
66. f ( x ) = 3 4 x − 5 f open x close equals , 3 fourths , x minus 5

See Lesson 2-6.

Get Ready! To prepare for Lesson 5-1, do Exercises 67–69.

67. A pool fills at a rate of 8 gal/min. What is this rate in gallons per hour?
68. A ball is thrown at a speed of 90 mi/h. What is this speed in feet per second?
69. You buy bottled water in 12-packs that cost $3 each. If you drink 3 bottles per day, what is your cost per week?

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