Geometric Progression General Term
Geometric Progression General Term
\[a_n = a_1 * r^(n-1)\]
Variables
an = nth term
a1 = first term
r = common ratio
n = term index
Description
What is this formula?
This formula calculates the nth term of a geometric progression where each term is multiplied by a constant ratio.
When to use it
Use it when sequences grow or decay exponentially.
Example
a1=2, r=3, n=4 → a4=2*3^3=54
Applications
Finance, population growth, physics decay models.
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