Arithmetic and Geometric Sequences
Quiz
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
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15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How can you determine if a sequence is geometric?
A sequence is geometric if the ratio of consecutive terms is constant.
A sequence is geometric if the difference between consecutive terms is constant.
A sequence is geometric if the sum of the terms is constant.
A sequence is geometric if the product of the terms is constant.
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the significance of the first term in a sequence?
It is the last term in the sequence.
It serves as the starting point for calculating subsequent terms in both arithmetic and geometric sequences.
It is irrelevant to the sequence.
It determines the common difference in arithmetic sequences.
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the formula for the nth term of a geometric sequence?
@@a_n = a_1 \times r^{(n-1)}@@
@@a_n = a_1 + (n-1) \times r@@
@@a_n = a_1 \div r^{(n-1)}@@
@@a_n = a_1 \times n \times r@@
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Identify the common ratio in the sequence 1, 3, 9, 27, ...
1
2
3
4
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is an arithmetic sequence?
A sequence of numbers where each term is the sum of the previous two terms.
A sequence of numbers in which the difference between consecutive terms is constant, known as the common difference.
A sequence of numbers that follows a geometric progression.
A sequence of numbers that increases exponentially.
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How do you find the common difference in an arithmetic sequence?
By adding any term to the subsequent term: @@d = a_{n+1} + a_n@@
By multiplying any term by the subsequent term: @@d = a_{n+1} imes a_n@@
By subtracting any term from the subsequent term: @@d = a_{n+1} - a_n@@
By dividing any term by the subsequent term: @@d = rac{a_{n+1}}{a_n}@@
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the 4th term of the geometric sequence 2, 6, 18, ...?
36
54
72
18
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