10 questions · Form 2 Mathematics Bab 1: Patterns and Sequences
10 questions · plays in fullscreen
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. In a sequence, T3 = 11 and T4 = 15. If the sequence has a common difference, find T1.
Answer: B
Common difference d = T4 - T3 = 15 - 11 = 4. T2 = 11 - 4 = 7, and T1 = 7 - 4 = 3.
2. Given the general term Tn = 5n - 3, find the value of T10.
Answer: A
Substitute n = 10 into the formula: T10 = 5(10) - 3 = 50 - 3 = 47.
3. 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.
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. What is the next number in the sequence: 7, 13, 19, 25, ...?
Answer: B
The pattern is adding 6 to each term (7 + 6 = 13, 13 + 6 = 19, 19 + 6 = 25). Therefore, 25 + 6 = 31.
6. What is the sum of the first 4 terms of the Fibonacci sequence starting with 0, 1, 1, 2, 3, ...?
Answer: A
The first 4 terms are 0, 1, 1, and 2. Their sum is 0 + 1 + 1 + 2 = 4.
7. 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.
8. Identify the 7th term in the Fibonacci sequence starting with 1, 1, 2, 3, ...
Answer: A
Fibonacci sequence: T1=1, T2=1, T3=2, T4=3, T5=5, T6=8, T7=13. Each term is the sum of the preceding two terms.
9. 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.
10. What is the pattern of the number sequence: 2, 4, 8, 16, 32, ... described in words?
Answer: C
Each term is twice the previous term (2 × 2 = 4, 4 × 2 = 8, 8 × 2 = 16), which means multiplying by 2.