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?
Vl 3
- 2 "S
•J o s
(#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:
•L J
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, . . .
<T}2- ?
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
-S-o , 1 ^
3 ' W ' 12 .
9 ) :
n - / Y
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.
- H -6
9, * - V M 3 -I
E -It
7-1
3
Name:
36. Graph the equation: y = -%\x-4\ 6
I D : A
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*"»
«\ i n M ' i ^ i col*"" «^<\
