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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._____
- Find Pattern: Look at the sequence to find the pattern; each term decreases by . So the th term is less than the previous term, starting at for .
- Write Expression: To write an expression for the th term, start with the first term and subtract for each subsequent term. Since the first term is when , we subtract times to find the th term.
- Simplify Expression: The expression for the th term is . Simplify the expression.
- Combine Terms: Simplify the expression to get .
- Final Expression: Combine like terms to get the final expression for the nth term, which is .
