Geometric Sequences.

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Presentation transcript:

Geometric Sequences

Geometric Sequence A sequence of terms that have a common ratio between them.

Explicit Formula Formula used to find the nth term of a sequence.

Explicit Formula for Geometric Sequence *r is always the number you multiply by. For example, in the sequence: 32, 16, 8, 4, … r = ½.

Recursive Formula a formula used to find the next term of a sequence when the previous term is known.

Recursive Formula for Geometric Sequence

Write the explicit rule and the recursive rule. a1 = 4 and r = 0.2

Write an explicit rule and a recursive rule for the geometric sequence. 3, 6, 12, 24, … Explicit Rule: Recursive Rule:

Find the common ratio, the explicit formula, and the seventh term. 3, 1.5, 0.75, 0.375, …

Find the next term and write the recursive rule. y 1 16 2 40 3 100 4 250 5

Find the next term and write the recursive rule. y 1 2 14 3 98 4 686 5

The fifth term is 1,792. The common ratio is 4 The fifth term is 1,792. The common ratio is 4. Write the explicit formula.