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X -2 -1 1 2 Y 0.75 1.5 3 6 12 Determine the function that best models the data. Write an equation to model the data Which kind of function best models the data? ________________ Write an equation to model the data. _______________________ Using your model, what will Y be when X = 6 ? ________________

Geometric Sequences

Geometric Sequences A sequence in which each term after the nonzero first term is found by multiplying the previous term by a common ratio

Geometric Sequences How do we find a common ratio for a sequence? 8, -2, (1/2), ... Divide the second term by the first term: -2/8 = -.25

Determine the common ratio and find the next three terms Multiply the common ratio to find the next three terms 8, -2, (1/2), ...

Try this: Determine the common ratio and find the next three terms: 2, 12, 72, ...

Try this: Determine the common ratio and find the next three terms: 2, 12, 72, ...

Try this… Find the common ratio of the sequence -164, -82, -41, -20.5…

Determine which sequence is geometric. 5, 11, 17, 23 4, -5, -14, -23 19, 2, 17, 4 2, 6, 18, 54

Worksheet