If $t_{n} = 3^{n - 1}$ , then $S_{6} - S_{5} =$

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Solution

$S_{6}$ is the sum till $6$ terms, while $S_{5}$ is the sum till $5$ terms.
Hence, $S_{6} - S_{5}$ gives the $6$ th term of the AP.
So, $t_{6} = 3^{6 - 1} = 3^{5} = 243$

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