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Write an expression to describe the sequence below. Use to represent the position of a term in the sequence, where for the first term._____
Full solution
Q. Write an expression to describe the sequence below. Use to represent the position of a term in the sequence, where for the first term._____
- Identify Pattern: First, let's look at the pattern in the sequence. Each term is less than the previous term, so it's decreasing by each time.
- Write Expression: To write an expression for the nth term, we start with the first term, which is . Since the sequence decreases by each time, we subtract times the position minus (because the first term is already , we don't need to subtract anything for the first term).
- Simplify Expression: The expression for the nth term is . Simplifying this, we get .
