6. Systems, Sequences and Probability

Sequences And Series — Quiz

Test your understanding of sequences and series with 5 practice questions.

Practice Questions

Question 1

Consider an arithmetic sequence where the first term is $a_1 = 3$ and the common difference is $d = 5$. What is the $10^{th}$ term of this sequence?

Question 2

A geometric sequence has a first term of $a_1 = 6$ and a common ratio of $r = 2$. What is the $4^{th}$ term of this sequence?

Question 3

What is the sum of the first $6$ terms of an arithmetic sequence where the first term is $a_1 = 4$ and the common difference is $d = 2$?

Question 4

Calculate the sum of the first $3$ terms of a geometric sequence with a first term of $a_1 = 5$ and a common ratio of $r = 3$.

Question 5

An arithmetic sequence has its $3^{rd}$ term as $10$ and its $5^{th}$ term as $16$. What is the common difference ($d$) of this sequence?