Mathematics

Number Patterns & Sequences

Grade 8 · Middle School

Answer every question first, then press Finish to see your score and explanations.

Question 1 of 20Easy
Consider the sequence $4, 7, 10, 13, \dots$ . The next term is ...
Question 2 of 20Easy
Consider the sequence $2, 6, 18, 54, \dots$ . The next term is ...
Question 3 of 20Easy
The pattern $1, 4, 9, 16, \dots$ consists of square numbers. The next term is ...
Question 4 of 20Easy
Consider the sequence $20, 17, 14, 11, \dots$ . The next term is ...
Question 5 of 20Easy
The common difference of the arithmetic sequence $3, 7, 11, 15, \dots$ is ...
Question 6 of 20Easy
The common ratio of the geometric sequence $64, 32, 16, \dots$ is ...
Question 7 of 20Medium
The $n$ -th term of an arithmetic sequence is $U_{n} = 5 + 3 (n - 1)$ . The 10th term is ...
Question 8 of 20Medium
Given the sequence $7, 12, 17, 22, \dots$ . The 15th term is ...
Question 9 of 20Medium
The geometric sequence $3, 6, 12, 24, \dots$ . The 7th term is ...
Question 10 of 20Medium
In the arithmetic sequence $4, 9, 14, 19, \dots$ , the term equal to 49 is the ...-th term.
Question 11 of 20Medium
The pattern $1, 3, 6, 10, \dots$ consists of triangular numbers. The next term is ...
Question 12 of 20Medium
The sequence $5, x, 13, 17, \dots$ is arithmetic. The value of $x$ is ...
Question 13 of 20Medium
An arithmetic sequence has $U_{3} = 11$ and $U_{5} = 19$ . Its first term is ...
Question 14 of 20Medium
A geometric sequence has first term 5 and fourth term 40. Its ratio is ...
Question 15 of 20Hard
An arithmetic sequence has $U_{2} = 8$ and $U_{6} = 24$ . Its 10th term is ...
Question 16 of 20Hard
A geometric sequence has $U_{2} = 6$ and $U_{5} = 48$ . Its 7th term is ...
Question 17 of 20Hard
Consider the pattern $2, 3, 5, 8, 13, \dots$ where each term is the sum of the two previous terms. The next term is ...
Question 18 of 20Hard
The $n$ -th term of a sequence is $U_{n} = 3 n + 2$ . The term equal to 47 is the ...-th term.
Question 19 of 20Hard
The pattern $5, 11, 23, 47, \dots$ follows the rule multiply by 2 then add 1. The next term is ...
Question 20 of 20Hard
The first row of a hall has 20 seats. Each following row has 4 more seats. The number of seats in the 12th row is ...

0/20 answered