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WorksheetsSequences, Dist/Midpoint
Total questions: 25
Worksheet time: 1hrs 17mins
Name
Class
Date
1.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
28, 14, 7, 3.5...
a)
2
b)
1/2
c)
-14
d)
-7
2.
Find the common ratio: 4, -16, 64, -256, ...
a)
r = -4
b)
r = 2
c)
r = -2
d)
r = 4
3.
Find the next three terms: -4, -12, -36, -108, ...
a)
36, -108, 324
b)
-324, -972, -2916
c)
324, -972, 2916
d)
-108, 324, -972
4.
Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?
a)
an = an-1 x 3
b)
an = 5(3)n-1
c)
an = 3(5)n-1
d)
an = 5 + (n-1)3
5.
Write the explicit formula for the following geometric sequence:
3, -12, 48, -192, ...
a)
an = 4(3)n-1
b)
an = 3(4)n-1
c)
an = -4(3)n-1
d)
an = 3(-4)n-1
6.
Find the 9th term in the following geometric sequence:
4, 8, 16, 32, ...
a)
384
b)
512
c)
768
d)
1,024
7.
Which sequence is an arithmetic sequence?
a)
3, 6, 2, 7, ...
b)
3, 6, 12, 24, ...
c)
3, 6, 10, 15, ...
d)
3, 7, 11, 15, ...
8.
Which kind of sequence has a common ratio?
a)
Arithmetic
b)
Geometric
9.
Which kind of sequence has a common difference?
a)
Arithmetic
b)
Geometric
10.
Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}
{26, 22, 18, 14, ...}
a)
Arithmetic
b)
Geometric
c)
Neither
11.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
12.
You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?
a)
$50
b)
$35
c)
$320
d)
$250
13.
Which explicit formula describes the sequence?
a)
an=−4+(n−1)(−1)
b)
an=(−4)(−1)(n−1)
c)
an=−1+(n−1)(−4)
d)
an=(−1)(−4)(n−1)
14.
The diagrams represent the first three terms of a sequence. Assuming the pattern continues, how many shaded squares are in the 6th term?
a)
26
b)
28
c)
30
d)
32
15.
What is the distance between (4, 7) and (2,2)?
a)
10
b)
29
c)
8
d)
9
16.
What is the midpoint formula?
a)
b)
c)
d)
17.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
18.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
19.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
20.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
21.
Find the direct distance between the court house and the town hall.
a)
26
b)
6.8
c)
10
d)
7.2 km
22.
How far is point A from point B?
a)
7.1
b)
7.8
c)
8.7
d)
8.9
23.
Find the perimeter of the triangle
a)
27
b)
26
c)
28
d)
29
24.
What is the perimeter of ΔPQR with vertices P(-2, 9), Q(7, -3), and R(-2, -3) in the coordinate plane? (Use the coordinate planes provided to you by Flamini to plot the points.)
a)
21 units
b)
25 units
c)
34 units
d)
36 units
25.
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)
a)
(-9, 10)
b)
(1.5, -1)
c)
(4.5, -0.5)
d)
(8.5, 4.5)
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