+ 8.4 – Geometric Sequences. + Geometric Sequences A sequence is a sequence in which each term after the first is found by the previous term by a constant.

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Presentation transcript:

+ 8.4 – Geometric Sequences

+ Geometric Sequences A sequence is a sequence in which each term after the first is found by the previous term by a constant called the common ratio. geometric multiplying

+ Find the first four terms of the geometric sequence with the given first term and common ratio. 1.

+ Find the first four terms of the geometric sequence with the given first term and common ratio. 2.

+ Explicit Formula Formula for the nth term of a geometric sequence:

+ Find the specified term of the geometric sequence with the given first term and common ratio. 3.

+ Find the specified term of the geometric sequence with the given first term and common ratio. 4.

+ Common Ratio To find the common ratio, divide any term by its previous term: We can then use this common ratio and the explicit formula for geometric sequences to find terms in the sequence.

+ Find the specified term of each geometric sequence. 5.

+ Find the specified term of each geometric sequence. 6.

+ Find the specified term of each geometric sequence. 7.

+ State whether the sequence is arithmetic or geometric and then find the specified term. 8.

+ State whether the sequence is arithmetic or geometric and then find the specified term. 9.

+ State whether the sequence is arithmetic or geometric and then find the specified term. 10.