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Bellwork:

Bellwork:. Determine whether each of the following is Arithmetic (something was added each time), Geometric ( something was multiplied each time), or Neither -2, -4, -8, -16… 10, 0, -10, -20… 4, 9, 16, 25…. Notation: .

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Bellwork:

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  1. Bellwork: • Determine whether each of the following is Arithmetic (something was added each time), Geometric (something was multiplied each time), or Neither • -2, -4, -8, -16… • 10, 0, -10, -20… • 4, 9, 16, 25…

  2. Notation: • d= common difference (what is added to each term of an arithmetic sequence) • r= common ratio (what is multiplied to each term of a geometric sequence) • n= What term number you are looking at (4th term, 10th term… nth term)

  3. How to find the nth term of an arithmetic sequence The Formula: Common Difference nth term First term

  4. How to find the nth term of an arithmetic sequence EX: -14, -5, 4, 13, … becomes

  5. How to find the nth term of an arithmetic sequence Simplify…

  6. How do we find the 30th term of an arithmetic sequence? Just plug in 30 for n!

  7. How to find the nth term of a geometric sequence. The Formula: Common Ratio nth term First term

  8. How to find the nth term of a geometric sequence. EX: 4, 20, 100, 500, … becomes

  9. How do we find the 10th term of an geometric sequence? Just plug in 30 for n!

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