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Quiz 4.1 And 4.2 Practice
Test Description: Practice
Instructions: Answer all questions to get your test result.
1) 4, 12, 36, 108 next 3 numbers: , , RULE:________________________
A
324,972,2916 an= 3(an-1) or an+1 = 3(an)
B
324,972,2916 an= 2(an-1) or an+1 = 2(an)
C
324,972,2916 an= 4(an-1) or an+1 = 4(an)
2) 4, 10, 16, 22 next 3 numbers: , , RULE:________________________
A
28,34,40 an = (an-1) + 4 or an+1 = an + 4
B
28,34,40 an = (an-1) + 7 or an+1 = an + 7
C
28,34,40 an = (an-1) + 6 or an+1 = an + 6
3) Create a sequence (5 terms) from the following Recursive Definition: tn= (tn-1) +4 and t1=3. Also find t10
A
3,6,10,14,18,22,26,30,34,38 and t10 = 38
B
3,8,12,16,20,24,28,32,36,40 and t10 = 40
C
3,7,11,15,19,23,27,31,35,39 and t10 = 39
4) Create a sequence (5 terms) from the following Explicit Definition: tn = 4n-1 and find t10
A
3,7,11,15,19 and t10 = 39
B
3,8,12,16,20 and t10 = 45
C
3,6,10,14,18 and t10 = 42
5) Given that t1= 5 and tn = 2(tn-1) - 3, determine which term of the sequence is 515.
A
5,7,11,19,35,67,131,259,515 and t9 = 515
B
4,6,12,16,20 and t9= 50
C
5,8,12,20,36,68,132,260,516 and t9= 516
6) Given that a1= 1 and an = 6(n)-5, determine which term, n, of the sequence is 241.
A
t41 = 241
B
t40= 241
C
t39=241
7) 5,8,11,14 What is the RECURSIVE DEFINITION?
A
an = (an-1) + 2 or an+1= an +2
B
an = (an-1) + 3 or an+1= an +3
C
an = (an-1) + 4 or an+1= an +4
8) 5,8,11,14 What is the EXPLICIT DEFINITION?
A
an = 5 + 3(n-1)
B
an = 4 + 3(n-1)
C
an = 3 + 5(n-1)
9) 5,8,11,14 What is the a33 or the 33rd term?
A
100
B
99
C
101
10) 4,12,36,108 What is the RECURSIVE definition?
A
an = 2(an-1) or an+1 = 2(an)
B
an = 4(an-1) or an+1 = 4(an)
C
an = 3(an-1) or an+1 = 3(an)
11) 4,12,36,108 What is the EXPLICIT definition?
A
an = 4(3)^n-1
B
an = 3(4)^n-1
C
an = 2(3)^n-1
12) 4,12,36,108 What is the 21 term or t21?
A
1.39 x 10^10
B
1.5 x 10^10
C
3.2 x 10^10
13) Jessie started creating the following pattern using red square blocks(1,3,5,7,9). How many red squares will she need for the 12th step of the sequence?
A
12
B
32
C
23
14) Ethan started creating the following pattern using blue square blocks(1,3,9,27). How many blue squares will she need for the 8th step of the sequence?
A
7812
B
4000
C
2187
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