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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._____
- Start and Increase Sequence: The sequence starts at and increases by each time. To find the th term, we start with the first term and add less than times, because the first term is already at .
- Find nth Term Expression: So the expression is the first term () plus (), because for the first term, is and we don't want to add anything yet.
- Check with Second Term: The expression is . Let's check it with the second term where . It should be .
- Verify Expression with : Plugging into the expression gives us , which is correct.
