PRECAL.MATH.5.E
Calculate the nth term of a geometric series, the nth partial sum of a geometric series, and sum of an infinite geometric series when it exists.
Precalculus · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
nth termgeometric seriesnth partial sumsuminfinite geometric seriesexistence
Skills
- calculate (the nth term of a geometric series) #dok1
- calculate (the nth partial sum of a geometric series) #dok2
- calculate (the sum of an infinite geometric series when it exists) #dok2
- determine (whether a geometric series is convergent or divergent) #dok2
Learning Targets
- I can calculate the nth term of a geometric series using the explicit formula. #dok1
- I can find the nth partial sum of a geometric series using the appropriate formula. #dok2
- I can determine if an infinite geometric series converges or diverges. #dok2
- I can calculate the sum of an infinite geometric series when it exists. #dok2
Big Ideas
- Geometric series can be analyzed and summed using specific formulas.
- Understanding the conditions for the convergence of infinite geometric series is essential for determining their sums.
Essential Questions
- How do you calculate the nth term of a geometric series?
- What methods are used to find the partial sum of a geometric series?
- Under what conditions does an infinite geometric series have a finite sum?
- How can you determine if a geometric series is convergent or divergent?
- How are the sum formulas for finite and infinite geometric series different?