1.6 Geometric Sequences Geometric sequence: a sequence in which terms are found by multiplying a preceding term by a nonzero constant.

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1.6 Geometric Sequences Geometric sequence: a sequence in which terms are found by multiplying a preceding term by a nonzero constant.

Recursive Form: r= nonzero constant Explicit Form: un = u1rn-1 Partial Sum:

Ex. 1 Is the sequence geometric , arithmetic, or neither Ex. 1 Is the sequence geometric , arithmetic, or neither? (if geometric find r, if arithmetic find d) A. 3, 6, 12, 24,……. B. 10, 2, ,……… C. 4, 7, 10, 13,…..

Ex. 2 Write a recursive & explicit formula for the geometric sequence Ex. 2 Write a recursive & explicit formula for the geometric sequence. U1 = 5 r = ½

Ex. 3 Find the kth partial sum: k = 7 u2 = 6 r = 2

Ex. 4 Write an explicit formula for the geometric sequence & find u8 Ex. 4 Write an explicit formula for the geometric sequence & find u8 . U2 = 4 U5 =