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. 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.
2. 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.
3. 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.
4. Determine the rule for the sequence: -12, -7, -2, 3, 8, ...
Answer: B
Difference = (-7) - (-12) = +5. Each term increases by 5.
5. 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.
6. 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.
7. Given the sequence 3, 8, 13, 18, 23, ..., find the position n for the term 48.
Answer: A
General term Tn = 5n - 2. Set 5n - 2 = 48 => 5n = 50 => n = 10... Wait: 5(1) - 2 = 3. 5n - 2 = 48 => 5n = 50 => n = 10.
8. In Pascal's Triangle, what are the middle numbers of the 5th row (1, 4, __, __, 4, 1)?
Answer: A
Row 4 is 1, 3, 3, 1. The 5th row numbers are obtained by adding adjacent numbers above: 1, (1+3=4), (3+3=6), (3+1=4), 1.
9. 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.
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).