📚 Topic Summary
Sequences are ordered lists of numbers or objects, following a specific pattern. Series are the sum of the terms in a sequence. Probability, on the other hand, deals with the likelihood of an event occurring. In Grade 12, you'll explore arithmetic and geometric sequences and series, as well as different types of probability, including conditional probability and independent events. Mastering these concepts is crucial for further studies in mathematics and related fields.
🧮 Part A: Vocabulary
Match the terms with their definitions:
| Term |
Definition |
| 1. Arithmetic Sequence |
A. The sum of the terms in a sequence. |
| 2. Geometric Sequence |
B. A sequence where each term is found by multiplying the previous term by a constant. |
| 3. Series |
C. The likelihood of an event occurring. |
| 4. Probability |
D. Events where the outcome of one does not affect the outcome of the other. |
| 5. Independent Events |
E. A sequence where the difference between consecutive terms is constant. |
✍️ Part B: Fill in the Blanks
Complete the following paragraph with the correct terms:
A __________ is a list of numbers, while a __________ is the sum of those numbers. In an __________ sequence, you add a constant difference to get the next term. In a __________ sequence, you multiply by a constant ratio. __________ measures how likely something is to happen.
🤔 Part C: Critical Thinking
Explain in your own words how the concept of conditional probability is useful in real-world decision-making. Provide an example.