Math Problem Statement
Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the following sequence with the given first term, a₁, and common ratio, r. Find a₁₄ when a₁ = 8 and r = -2.
Solution
To solve this problem, we again use the formula for the general term of a geometric sequence:
[ a_n = a_1 \cdot r^{n-
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Math Problem Analysis
Mathematical Concepts
Sequences
Geometric Sequences
Formulas
General term of a geometric sequence: aₙ = a₁ ⋅ r^(n-1)
Theorems
-
Suitable Grade Level
Grades 9-10
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