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Deriving/Applying the Geometric Series Formula Practice Test
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Q1
Derive the finite geometric series formula starting from
$$S_n = a + ar + ar^2 + \cdots + ar^{n-1},$$
by multiplying by $r$, subtracting to cancel middle terms, and solving for $S_n$ (assume $r \ne 1$). Which final expression is correct?
Derive the finite geometric series formula starting from
$$S_n = a + ar + ar^2 + \cdots + ar^{n-1},$$
by multiplying by $r$, subtracting to cancel middle terms, and solving for $S_n$ (assume $r \ne 1$). Which final expression is correct?