St a n d a r d i ze d Test Pr ep
- Which of the following is the explicit formula for the geometric sequence 15,3,0.6,
0.12,...?
CD an = 15 • 0.2n_1 CD ax = 15; an = 0.2 • an~l
CD ^ = 0.12; an = 5 • an~l CD an = 0.2 • 15” _1 - W hich of th e following is th e recursive form ula for th e geom etric sequence 2,12,
72.432....?
CD an = 2 ' 6”-1 ® f l 1 = 6 ; a „ = 2 * a " -1
CD «i = 2; an = 6 • an~l C D = 6 • 2n~ l - W hich of th e following is th e explicit form ula for th e geom etric seq u en ce 12,18, 27,
40.5....?
CD an = 15 • 1.2"-1 CD ax = 12;an = 1.5 • an~l
CD = 12; an = 0.5 • a ”-1 C D an = 12 * 1.5"-1 - W hich of th e following is b o th an arithm etic seq u e n ce an d a geom etric sequence?
CD 1,-1,1,-1,.-. CD 1,4,9,16,...
CD 16, 24, 36, 5 4 ,... CD 5, 5, 5, 5 ,...
short 58. Write th e explicit an d recursive form ulas for th e geom etric seq u e n ce 27, 36,48,
^P°nSe 64,...
Mixed Review
Write the recursive and explicit formulas for each arithmetic sequence. ^ See Lesson 4-7.
59.0,9,18,27,... 60. 5,3,1,-1,... 61. -7 ,-3 ,1 , 5,...Solve each equation. ^ See Lesson 2-3.- 3x + 7 = 2x - 1 63. | + 5 = - y + 2 64. 5 {a - 3) = 20 + a
Solve the following problems. ^ See Lesson 2-10.- A price changes from $40 to $70. W hat is th e p ercen t change?
- I h e value 25 is increased by 50%. W hat is th e n ew value?
Get Read y! To p re p a re fo r Lesson 8 - 1 , d o Exercises 6 7 - 6 9.
Simplify the following expressions. ^ See Lesson 1-8.- (2x + 3y) + 2y 68. (4a + 5fo) - 3b 69. (-6c + 5d) + 2c
472 Ch ap t er 7 Ex p o n e n t s a n d Ex p o n e n t i a l Fu n c t i o n s