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Sum of the First n Terms of a Geometric Sequence

Mathematics Grade 9 Difficulty 2/5

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Sum of the First n Terms of a Geometric Sequence

Prerequisite Knowledge: Before diving in, make sure you're comfortable with geometric sequences — sequences where each term is found by multiplying the previous term by a constant ratio $r$.

1. What Is a Geometric Series?

A geometric sequence looks like this:

$a, \; ar, \; ar^2, \; ar^3, \; \ldots, \; ar^{n-1}$

where $a$ is the first term and $r$ is the common ratio.

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