## Reflection: Debate The Limit of a Sequence - Section 3: Summarize and Extend

There was some confusion about limits as students were working in their table groups. For a sequence like 3, 1.5, 0.75, ..., a student claimed that the limit was 6 because he used the formula S = a/(1-r) and found the sum to approach 6. Students had to work with each other to clarify that we are looking for the limit of the terms, not the limit of the sum of the terms. This was an important distinction to make, since we alluded to limits when talking about the height of a fractal tree in an earlier lesson. In that case, however, we were looking for the limit of the sum of all terms. For this lesson we were doing something slightly different and it was important to clarify.

# The Limit of a Sequence

Unit 9: Sequences and Series
Lesson 12 of 18

## Big Idea: Move from an intuitive sense of a limit to formal definition.

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Standards:
Subject(s):
Math, PreCalculus, limit, arithmetic sequence, geometric sequence
50 minutes