10 questions · Form 2 Mathematics Bab 1: Patterns and Sequences
Describe the pattern for the sequence 100, 50, 25, 12.5, ... using numbers.
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. Describe the pattern for the sequence 100, 50, 25, 12.5, ... using numbers.
Answer: B
Each consecutive term is half of the previous term, so the numerical pattern is ÷ 2.
2. The 1st term of a sequence is 2 and the rule is 'Multiply by 3 then subtract 1'. What is the 3rd term?
Answer: B
T1 = 2. T2 = (2 × 3) - 1 = 5. T3 = (5 × 3) - 1 = 14.
3. Complete the missing terms in the sequence: 81, 27, __, 3, 1.
Answer: B
The pattern is dividing the previous number by 3 (81 ÷ 3 = 27, 27 ÷ 3 = 9, 9 ÷ 3 = 3).
4. Which set of numbers represents odd numbers arranged in ascending order?
Answer: B
Odd numbers starting from 1 are 1, 3, 5, 7, 9, ...
5. Which of the following is NOT a sequence?
Answer: C
A sequence must follow a clear pattern or rule. The list '3, 7, 2, 9, 1' does not follow a consistent mathematical rule.
6. If the general term of a sequence is Tn = 2n + 5, which term is equal to 25?
Answer: A
Set 2n + 5 = 25 => 2n = 20 => n = 10. So it is the 10th term.
7. Determine the rule for the sequence: -12, -7, -2, 3, 8, ...
Answer: B
Difference = (-7) - (-12) = +5. Each term increases by 5.
8. Which algebraic expression represents the general term Tn for the sequence: 4, 7, 10, 13, ...?
Answer: C
Common difference d = 3. For n = 1: 3(1) + 1 = 4. For n = 2: 3(2) + 1 = 7. Thus, Tn = 3n + 1.
9. What is the 5th term of the sequence defined by Tn = n² + 2?
Answer: A
Substitute n = 5: T5 = 5² + 2 = 25 + 2 = 27.
10. Find the value of x in the sequence: 5, 9, x, 17, 21.
Answer: B
The pattern is adding 4 to each consecutive term (5 + 4 = 9, 9 + 4 = 13, 13 + 4 = 17).