Name: Class: Date: I D : A

Algebra 2 Chapter 9 Test R E V I E W

Short Answer

Generate the first five terms in the sequence.

1. v„ = 3 n - l y a - - *

y ^ >e»>-< = 8 2, X ^ . W . N

2. 6, - 8 n - 6

What is the 15 term in the sequence using the given formula?

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(#4 - 9)Is the sequence arithmetic, geometric, or neither? I f arithmetic, identify the common difference. I f geometric, identify the common ratio.

I f arithmetic or geometric, write the explicit formula for the sequence and find a

4. 13, 20, 27, 34, . . . c

7 f 7--6, - I t .

5. 7,^47^16,-36, . . . :

6. 6, 12, 24, 48, ...

z 13 f 7 * - 7

1

s

7. 3 , - 9 , 2 7 , - 8 1 , .

8. 14 .21 ,42*77* .

T l j T, V

9 1 2 4 8 16 ' 3 ' 9 ' 2 7 ' 8 1 ' 2 4 3 " "

T -

V 4 C

(#10 - 15)Find the requested term or terms for each sequence,

13.

* 2:

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10. Find the 50th term o f the sequence

5 , - 2 , - 9 , - 1 6 , . . . ^ f * ^ ' ) ; \

~* "7 "7 [9sorZlM] 11. Find the 110 term o f me^e^uence

- 7 , 3 , 13,23, . . . q -?+ (;/•->X'° ) 12. Find the missing term o f the arilliinellC sequence

2 6 , @ ; 8 , . . .

Find the 2nd and 3rd term o f the arithmetic sequence ^j~-7 ^ 2 zi- 7 t- *0 ^ -7,0123 -22 , - V - * » - i V . O H * l

14. cf - -S-

Find the sixteenth term o f the sequence,

1 r m?)?*lV*s'\ 5, 15, 45, . . .

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15. Find a possible value for the missing term o f the geometric sequence. 54,274 1944,...

^ 4

d27 (35) (7 -0

Name:

C.I. ^ Qti- Q, + Oft -C

(#16 -19)What is the sum of thfe finite arithmetic series?

16

I D : A y o = 3 o r 2. i - z.

29 + 32 + 35 + 38 + 41 + . . . + 59 ( I T * * - * * ) 18. '30 + 32 + 34 + 36 + 38 + . . . + 50 - i n " ^ ,

17. 17 + 20 + 23 + 26 + 2 9 + . . . + 47 A 7 s i<7 + ( A * I > - » 19. (-5) + 0 + 5 + 1 0 + . . . + 65 , ^ •. , .

Write the series (arithmetic or geometric) in summation notation, then find the sum

& 20. 49 + 54 + 59 + ... + 114

< 22. 56^+60 + 64 + ... + 100.

2 1 . 4 + ^ 2 + ^ 6 + 108+ ... + 972.

f

, - , i i i i 23. i - I + - - - + . . . _ —

. r

Evaluate each series. Y o u can write o u n m icims to add up or use the formula. #24-26 are arithmetic. #27,28 are geometric. £ C*J/uUfo'~ i I 1 s ^

74. £ (II + 4). =r 2 C n = 1

8>

26. Z2x + 6. .v= 1

- 7

25. X 5«. « = 3

10

27. E6(2r' -1 = 1

15 28. Z24r-1

* = 0 z

7. 1

Does the infinite geometric series diverge or converge? C a n a sum be found? I f so, find the sum. (

QJ> *= ih ill!

J 4

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3 ' W ' 12 .

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1,

P9J Name: I D : A

33. Consider the infinite geometric series X _ 4 n = 1

a. Write the first four terms o f the series. b . Does the series diverge or converge? c. I f the series has a sum, find the sum.

1 1 N " J ,

b

s. " °l

34. Consider the infinite geometric series X! - 4 ( - 2 ) " 1 . n = 1

a. Write the first four terms o f the series. b. Does the series diverge or converge? c. I f the series has a sum, f ind the sum.

REVIEW

35. Directions Identify the zeros o f the given function by circling their location on the graph o f the function.

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9, * - V M 3 -I

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3

Name:

36. Graph the equation: y = -%\x-4\ 6

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37. Solve the equation. Check for extraneous solutions.Express your answer(s) i n the box provided.

4-3|2x + 6| = - 8

2.Y= -2,

0-i

(J- -4

Answer:

- \ -or

38. Solve 2x~ + 9 = - 9 . Express your answer(s) in simplest form. Write your answer(s) in the box provided.

39. Identify the domain and range o f the function, v = V Write your answers i n the boxes provided.

Answer: X 3 t_ o r f\0 _S(jft/f7C-A i r "

Domain:

1 ? Ra nge:

y >o

a T y 40. Determine which o f the fol lowing equations would have a solution o f 1. Choose A L L that apply. .

2 x 2 - 3 * + l = 0 (04^77=3 C**Y»M»*~ BO \ix-5| - 3 y(t- (j^x-!(£yr -

*C))x2 +lx-% = 0 c^Mlr\ CjQBoc + 8 + 2x+10==-5x + 5

0 > .

y ^ 2v , C^O n t c r i e«/H*"»

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