10 questions · Form 2 Mathematics Bab 1: Patterns and Sequences
Given the general term Tn = 5n - 3, find the value of T10.
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. Determine the rule for the sequence: -12, -7, -2, 3, 8, ...
Answer: B
Difference = (-7) - (-12) = +5. Each term increases by 5.
3. What is the 5th term of the sequence defined by Tn = n² + 2?
Answer: A
Substitute n = 5: T5 = 5² + 2 = 25 + 2 = 27.
4. Find the general term Tn for the sequence: 2, 4, 6, 8, 10, ...
Answer: B
For n = 1, T1 = 2(1) = 2; n = 2, T2 = 2(2) = 4; n = 3, T3 = 2(3) = 6. Thus, Tn = 2n.
5. 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.
6. 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.
7. 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.
8. 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.
9. 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).
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.