3.10 Arithmetic Sequences — Predict the Future with a Simple Formula | Contemporary Mathematics
After this lesson you will be able to…
- Learn the definition of an arithmetic sequence, its terms, and the constant difference.
- Learn to use the nth term formula to find any term in an arithmetic sequence.
- Discover how to find the constant difference and first term from any two terms.
- Learn Gauss's method to quickly calculate the sum of a finite arithmetic sequence.
- Explore how arithmetic sequences apply to habit building, savings, and training goals.
- Contrast arithmetic sequences with the recursive Fibonacci sequence and its presence in nature.
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(0)Arithmetic sequences show up everywhere — from the 2.5 quintillion bytes of data added to the internet every single day, to savings plans, marathon tr...
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Quiz: Arithmetic Sequences — Definitions, Formulas, and Applications
FundamentalsAnswer each question based on what was presented in the video lesson. No outside knowledge is required — all answers can be found directly in the video.
Practice: Arithmetic Sequences and Series
PracticeApply the formulas and techniques from the video to solve problems involving arithmetic sequences. Show all work and label each step clearly. Problems increase in difficulty.