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### Test I: Identify Me!
1. **Common Difference**: This refers to the constant difference between any two consecutive terms in an arithmetic sequence.
2. **Arithmetic Sequence**: A sequence where the difference between consecutive terms is constant.
3. **The formula** \( a_n = a_1 + (n - 1)d \) represents the nth term of an arithmetic sequence.
4. **Sum of an arithmetic sequence**: Given as \( S_n = \frac{n}{2}(a_1 + a_n) \).
5. **nth term formula**: \( a_n = a_1 + (n - 1)d \).

### Test II: Multiple Choice
Here are some solutions to a few of the questions:
6. **Common difference** in the sequence \(-15, -11, -7, -3, \dots \) is 4.
7. The set of first four terms for the sequence \( a_n = 7n + 4 \) is **c. 11, 18, 25, 32**.
8. **Formula for the nth term** in \( -1, 2, 5, 8, 11, \dots \) is \( a_n = 3n - 4 \).
9. **First term** of the arithmetic sequence \( \_, 7, 11, 15, 19 \) is **3**.
10. **Arithmetic sequence**: \( 1, -1, -3, -5, \dots \), option **b.**.

Would you like more detailed answers for any specific questions from the test? Here are five follow-up questions that relate to the topic of arithmetic sequences:

1. How do you derive the formula for the sum of an arithmetic sequence?
2. How do you find the common difference if you're only given non-consecutive terms of the sequence?
3. What are the conditions that define whether a sequence is arithmetic or not?
4. How would you find the nth term of an arithmetic sequence if the first term is negative?
5. How is the arithmetic mean of a sequence related to the common difference?

**Tip:** When working with arithmetic sequences, always try to identify the common difference first. It will help in determining the nth term and sum more easily.

Grade 10 Mathematics Summative Test on Arithmetic Sequences

Review the Grade 10 Mathematics Summative Test on Arithmetic Sequences, covering key concepts such as common difference, the nth term formula, and the sum of an arithmetic sequence. Detailed solutions included for selected problems.

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