Online Test — Patterns & Sequences
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
What is the common difference in the sequence 8, 13, 18, 23, ...?
3
4
5
6
Explanation: 13-8=5, 18-13=5, 23-18=5
Question 2 of 10
Find the 10th term of the arithmetic sequence: 4, 9, 14, 19, ...
45
49
50
54
Explanation: a₁=4,d=5; a₁₀=4+9×5=4+45=49
Question 3 of 10
Which sequence is geometric?
2,4,6,8
3,6,9,12
5,10,15,20
2,6,18,54
Explanation: Multiply by 3 each time: 2×3=6,6×3=18,18×3=54
Question 4 of 10
What is the common ratio of 100, 50, 25, 12.5, ...?
2
-2
1/2
-1/2
Explanation: 50÷100=0.5; 25÷50=0.5; 12.5÷25=0.5
Question 5 of 10
Write the recursive rule for: 5, 9, 13, 17, ...
a₁=5, aₙ=2aₙ₋₁
a₁=5, aₙ=aₙ₋₁+4
a₁=5, aₙ=aₙ₋₁×4
a₁=5, aₙ=aₙ₋₁-4
Explanation: Each term increases by 4 from previous term
Question 6 of 10
How many dots in Figure 5 if Figure 1 has 1 dot, Figure 2 has 4 dots, Figure 3 has 9 dots?
16
20
25
30
Explanation: Pattern: n²; Figure 5: 5²=25
Question 7 of 10
Find the next term: 3, -6, 12, -24, ...
48
-48
36
-36
Explanation: Multiply by -2: -24 × (-2)=48
Question 8 of 10
What is the 8th triangular number?
28
32
36
40
Explanation: Formula: n(n+1)/2 = 8×9/2=72/2=36
Question 9 of 10
If a₁=2 and aₙ = aₙ₋₁ × 3, what is a₄?
6
18
54
162
Explanation: a₂=6, a₃=18, a₄=54
Question 10 of 10
Which figure number would have 36 dots in a square pattern (n²)?
Figure 4
Figure 5
Figure 6
Figure 7
Explanation: 6²=36, so Figure 6