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Worksheets15.1-15.2 Review
Total questions: 30
Worksheet time: 1hrs 23mins
Is the sequence geometric? {4, 16, 36, 64, ...}
Yes
No
Is the sequence geometric? {1, -5, 25, -125, ...}
Yes
No
Write a geometric formula where the first term is 20 and the common ratio is 0.6.
What is the common ratio of the {-2, -4, -8, -16, ...}
1/2
2
-1/2
-2
Write the nth term rule for the geometric sequence.
An= 10(2)n-1
An= 2(10)n-1
An= 10(2)n
An= 2(10)n
What is the nth term rule for the sequence:
11, 22, 44, 88...
An= 2(11)n-1
An= 11x2
An= 11(2)n-1
Is this a Geometric Sequence? If so, what is r?
No
Yes, 1/4
Yes, -1/4
Yes, -4
Is the sequence 9, 99, 999, 9999,... geometric?
no
yes
6, 2, 2/3, 2/9
The two formulas for an EXPLICIT geometric rule are...
f(n) = f(1) * (r)n-1
f(1) = ___ ; f(n) = f(n-1) * r
an = a1(r)n-1
Write the explicit rule in recursive form: fn = 11(2)n-1
f1=2 ; fn=fn-1 * 11
f1=11 ; fn=fn-1 * 2
Which recursive formula best describes the sequence
2, -6, 18, - 54...
a1 = 2; an=an-1* - 4
a1 =2; an=an-1* - 8
a1 = -3; an=an-1* 2
a1 =2 ; an=an-1* -3,
What is the recursive rule for the sequence:
-2, 12, -72, 432, ...
an = -2(-6)n-1
a1=-2
an =an-1 + 10
a1=-2
an = -6⋅an-1
a1=-2
an = a(n-1) - 6
a1=-2
2, -6, 18, - 54...
an=an-1* -4,
an=an-1* - 8,
an=an-1* 2,
an=an-1* -3,
A ball is dropped from the top of a building. On the first bounce, the height is 54 ft, the 2nd bounce is 9 ft, the 3rd bounce is 1.5 feet. What is the height of the ball at the top of bounce 6?
0.25 ft
0.04 ft
0.007 ft
0.001 ft
Write the recursive rule as an explicit rule:
f(1)= 6; f(n)=f(n-1)x1.4
f(n)=1.4(6)n-1
f(n)=6(1.4)n-1
f(1)= 1.4; f(n)=f(n-1)x6
Write the explicit rule as a recursive rule:
f(n)=9(0.6)n-1
f(1)= 0.6; f(n)=f(n-1) x 9
f(1)= 9; f(n)=f(n-1) x 0.6
f(n)=0.6(9)n-1
f(n)=f(n-1) x 0.6
Write the recursive rule as an explicit rule:
f(1)= 8.5; f(n)=f(n-1)x2
f(n)=8.5(2)n-1
f(n)=2(8.5)n-1
f(1)= 2; f(n)=f(n-1)x8.5
f(n)=f(n-1)x8.5
A ball is dropped from the top of a building. On the first bounce, the height is 80 ft, the 2nd bounce is 20 ft, the 3rd bounce is 5 feet. What is the height of the ball at the top of bounce 6?
1.25 ft
0.3125 ft
0.078 ft
0.020 ft
