Name: Date:

Spring Finals Review

Period:

Write the next 5 terms in each Arithmetic sequence. SHOW ALL WORK FOR FULL CREDIT.

51

3) 7, —1, —4

3

2) 25, 21, 17

co

10 _ q a -4, a-83

3

Find the 121st term of each arithmetic sequence. SHOW ALL WORK FOR FULL CREDIT.

3 1 1

5) 6, 13, 20, 27 6) 12, 11—, 11—, 11—4 2 4

vv—t

L — 30

Find the missing terms in each arithmetic sequence. SHOW ALL WORK FOR FULL CREDIT.

877 8) 12.8, _, _, -36

tan

-- 681 Ck3—Clog

190 _ 19 n %

9) Find the 45th term of the arithmetic sequence given as = 17 and 26.

(5-0.9

Inc q 1

10) Find the 15thterm for which a4 = -2 and ag = 46.

-384 (15-1),

•ICY

130

Name: Date: Period:

Find the indicated sum for each arithmetic series. SHOW ALL WORK FOR CREDIT.11) S25 for 4+ 9 +14 + 19 + 12) sn for 4.5+2.9+1.3 + ...

—33iC

13) Given the following se uen e find the sum 8, 14, 20 332, 338

66 (84338)

330

6

Find the sum of the series. LEAVE ANSWERS IN FRACTION FORM.7 5

5

14) C53) 15) .2k=2 k + 2

Find the 17th term of each geometric sequence.

16) 2, 6, 18

Find the 16th term of the geometric sequence with the given terms.

18) —12, -4 19) 4, 108

Find the 20th term of each geometric sequence.

1 1221) 8, 24, 72, 216,

2-0

Name: Date: Period:

1 1 2then find the sum of the first 522) Find the common ratio of the geometric sequence 2

terms.

3

2118) lbt

23) Find the common ratio of the geometric series then find the sum of the first 5

terms.

24) Find the sum of the first 9 terms of the geometric series such that as = 48 and = 192 q,

3-3 (L)1.48

—l

1533

25) Find the sum of the geometric series. 4(-1) k-l

26) Find the sum of the geometric series.

155

27) Find the sum of the geometric series

Name: Date: Period:

Graph the following functions and state the domain, range and asymptote of each.

28) y = 3x+2 29) y = +3

30) Y =

D —eo 00

R:

Asym: Asym

31) Y = —2x—1 + 4

D

R: G 00

Asym: Asym:

Fill out the table, label as growth or decay, and graph.

Growth or Decay:

C 14

Name:

33) y =

Solve.

Date: Period:

Growth or Decay:

34) You drink a beverage with 90 mg of caffeine. Each hour, the caffeine in your system decreases by

about 12%. How much caffeine is left in your system after 6 hours?

90' (I—ell

35) You have inherited land that was purchased for $49,500 in 1970. The value of the land increased by

approximately 6% per year. What is the approximate value of the land in the year 2015?

Create an exponential model to fit the data or graph.

36) 37)

1/8 1/4 1/2 1/3 1/9

Name: Date: Period:

Use the laws of logarithms to expand or condense the following expressions.

38) log3— =

HTM-40) log2 5x

Itt5±

42) log ?g — = 173 +

-1 10 L

Evaluate the expression.

44) E

51) log9 9 I

Solve.

49) In e

52) log 47

54) 5

tot 3 C

56) 210% x—210g6 2=2

114%

= 91

39) —log4 a — log4 b:

41) log34+410g3M =3 IHH

43) 310% 3 +210% a—410% b = 3

50) In 25 $ '3,ti9

(.fiL 53) log4 64 = x

55) 210g 3+ logx + log3 = 210g9

1 3+1 3:

81

4357) (5x-

15

59) log7(4x +5) =

cx—n

1,633) -

Name:

60) = 91

62) -6

Date: Period:

61) 210g 2+ log x + log3 = 210g6

-136

63) 81 = x

Draw the graph and fill in the information.

64) f(x)— — —log2(X 2) -F I

Domain:

Range:

Asymptote(s):

65) In(x + 2) -3

Domain:

Range:

Asymptote(s): Q—