WorksheetsSequences and Series
Total questions: 15
Worksheet time: 58mins
Name
Class
Date
1.
The third term of a geometric sequence is 96 and the fifth term is 1536. What is the sum of the first ten terms of the sequence?
a)
4,092
b)
1,572,864
c)
2,097,150
d)
33,554,400
2.
a)
1.1
b)
1.111
c)
0.222
d)
1.9
3.
a)
Fear
b)
Joy
c)
Surprise
d)
Sadness
4.
Which statement is true about the sequence shown below?
0, 4.5, 12, 22.5, ...
0, 4.5, 12, 22.5, ...
a)
The series converges because the limit of the sequence as n approaches infinity is infinity.
b)
The series converges because the limit of the sequence as n approaches infinity is 30.
c)
The series diverges because the limit of the sequence as n approaches infinity is infinity.
d)
The series diverges because the limit of the sequence as n approaches infinity is 30.
5.
a)
Hotline Bling
b)
Legend
c)
Know Yourself
d)
Energy
6.
Which statement is true about the fifth terms of the two sequences below?
an = 3n2 - 6
bn = 3(bn-1 - 6); b1 = 10
an = 3n2 - 6
bn = 3(bn-1 - 6); b1 = 10
a)
The fifth term of the recursive sequence exceeds the fifth term of the explicit sequence by 63.
b)
The fifth term of the explicit sequence exceeds the fifth term of the recursive sequence by 63.
c)
The fifth term of the recursive sequence exceeds the fifth term of the explicit sequence by 21.
d)
The fifth term of the explicit sequence exceeds the fifth term of the recursive sequence by 21.
7.
In a geometric sequence a1 = 12 and r = √2. What is the approximate sum of the first 20 terms of the sequence?
a)
339.4
b)
8688.9
c)
29624.9
d)
29636.9
8.
Which of these films had the biggest opening weekend of 2015?
a)
Jurassic World
b)
Star Wars: The Force Awakens
c)
Mad Max: Fury Road
d)
Avengers: Age of Ultron
9.
A bathroom floor has tiles arranged in 9 circles. The innermost circle contains 9 tiles. Each successive circle contains 9 more tiles than the previous circle. How many total tiles are on the bathroom floor?
a)
81
b)
396
c)
405
d)
729
10.
Which actress was cast as Belle in the upcoming Disney live-action 'Beauty and the Beast'?
a)
Jessica Alba
b)
Chloe Grace Moretz
c)
Jennifer Lawrence
d)
Emma Watson
11.
Which statement is true about the series shown below?
-4 + -2 + -1 + ½ + -¼+ ...
-4 + -2 + -1 + ½ + -¼+ ...
a)
The series converges because ∣r∣ < 1
b)
The series diverges because ∣r∣ < 1
c)
The series converges because ∣r∣ > 1
d)
The series diverges because ∣r∣ > 1
12.
What is the explicit form of the equation
an = an-1 + 2(n-1); a1 = 1?
*Hint! - Use the formula to write a few terms of the sequence and see which explicit formula fits*
an = an-1 + 2(n-1); a1 = 1?
*Hint! - Use the formula to write a few terms of the sequence and see which explicit formula fits*
a)
2n - 1
b)
n2 - n + 1
c)
n2 - 2n + 2
d)
2n2 - 2n - 1
13.
a)
Sophia
b)
Alexandra
c)
Margaret
d)
Charlotte
14.
What is the explicit form of the following equation?
an = 4an-1 ; a1 = 5
an = 4an-1 ; a1 = 5
a)
4 (5)n-1
b)
5 (4)n-1
c)
5 + 4n
d)
4 + 5n
15.
What is the explicit form of the following equation?
an = an-1 - 3; a1 = 4
an = an-1 - 3; a1 = 4
a)
3 (4)n-1
b)
4 (-3)n-1
c)
4 - 3(n-1)
d)
4 + 3(n -1)
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