Quiz 4.1 And 4.2 Practice Question Preview (ID: 38907)


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4,12,36,108 What is the EXPLICIT definition?
a) an = 3(4)^n-1
b) an = 4(3)^n-1
c) an = 2(3)^n-1
d)

4,12,36,108 What is the 21 term or t21?
a) 3.2 x 10^10
b) 1.5 x 10^10
c) 1.39 x 10^10
d)

5,8,11,14 What is the a33 or the 33rd term?
a) 99
b) 100
c) 101
d)

4,12,36,108 What is the RECURSIVE definition?
a) an = 3(an-1) or an+1 = 3(an)
b) an = 2(an-1) or an+1 = 2(an)
c) an = 4(an-1) or an+1 = 4(an)
d)

5,8,11,14 What is the EXPLICIT DEFINITION?
a) an = 3 + 5(n-1)
b) an = 5 + 3(n-1)
c) an = 4 + 3(n-1)
d)

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
d)

5,8,11,14 What is the RECURSIVE DEFINITION?
a) an = (an-1) + 4 or an+1= an +4
b) an = (an-1) + 2 or an+1= an +2
c) an = (an-1) + 3 or an+1= an +3
d)

Given that t1= 5 and tn = 2(tn-1) - 3, determine which term of the sequence is 515.
a) 4,6,12,16,20 and t9= 50
b) 5,7,11,19,35,67,131,259,515 and t9 = 515
c) 5,8,12,20,36,68,132,260,516 and t9= 516
d)

Create a sequence (5 terms) from the following Explicit Definition: tn = 4n-1 and find t10
a) 3,6,10,14,18 and t10 = 42
b) 3,8,12,16,20 and t10 = 45
c) 3,7,11,15,19 and t10 = 39
d)

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) 3,7,11,15,19,23,27,31,35,39 and t10 = 39
c) 3,8,12,16,20,24,28,32,36,40 and t10 = 40
d)

4, 10, 16, 22 next 3 numbers: , , RULE:________________________
a) 28,34,40 an = (an-1) + 7 or an+1 = an + 7
b) 28,34,40 an = (an-1) + 6 or an+1 = an + 6
c) 28,34,40 an = (an-1) + 4 or an+1 = an + 4
d)

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)
d)

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) 23
c) 32
d)

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) 2187
b) 7812
c) 4000
d)

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