Exploring Geometric Sequences and Series
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Jackson Turner
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What distinguishes a geometric sequence from an arithmetic sequence?
Each term is subtracted by a constant to get the next term.
Each term is the sum of all previous terms.
The ratio between consecutive terms is constant.
The difference between consecutive terms is constant.
Tags
CCSS.HSF.BF.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a geometric sequence, if the first term is 3 and the common ratio is 2, what is the third term?
15
6
9
12
Tags
CCSS.HSF.BF.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the common ratio of a geometric sequence is -1/2, what is the sign of the third term if the first term is positive?
Cannot be determined
Positive
Negative
Zero
Tags
CCSS.HSF.BF.A.2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a geometric sequence, if the second term is 10 and the common ratio is 5, what is the first term?
5
50
0.5
2
Tags
CCSS.HSF.BF.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the nth term of a geometric sequence?
Subtract the common ratio from the first term n times.
Divide the first term by the common ratio raised to the power of n.
Add the common ratio to the first term n times.
Multiply the first term by the common ratio raised to the power of (n-1).
Tags
CCSS.HSF.BF.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sum of the first 5 terms of a geometric sequence with a first term of 2 and a common ratio of 3?
486
242
121
363
Tags
CCSS.HSA.SSE.B.4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What formula is used to find the sum of the first n terms in a geometric series?
First term divided by (1 - ratio^n)
Sum of squares of the first n terms
First term plus ratio multiplied by n
First term multiplied by (1 - ratio^n) divided by (1 - ratio)
Tags
CCSS.HSA.SSE.B.4
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