6. Sequences and Calculus Intro
Sequences — Quiz
Test your understanding of sequences with 5 practice questions.
Practice Questions
Question 1
If an arithmetic sequence has a common difference of $5$ and its $4^{th}$ term is $23$, what is the first term ($a_1$)?
Question 2
A geometric sequence has a common ratio of $3$ and its $3^{rd}$ term is $45$. What is the first term ($a_1$)?
Question 3
Which of the following describes the behavior of a geometric sequence when the common ratio ($r$) is between $-1$ and $1$ (i.e., $-1 < r < 1$) but not zero?
Question 4
Consider an arithmetic sequence where the $2^{nd}$ term is $9$ and the $5^{th}$ term is $21$. What is the common difference ($d$)?
Question 5
If the $3^{rd}$ term of a geometric sequence is $18$ and the $6^{th}$ term is $486$, what is the common ratio ($r$)?