Math Problem Statement

Which recursive formula can be used to define this sequence for n>1? 2, 6, 18, 54, 162, 486,

Solution

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Math Problem Analysis

Mathematical Concepts

Sequences and Series
Geometric Sequences
Recursion

Formulas

Recursive formula: a_n = r * a_{n-1}
Explicit formula for geometric sequence: a_n = a_1 * r^(n-1)

Theorems

Properties of Geometric Sequences

Suitable Grade Level

Grades 8-10