If we know a term in a geometric number pattern (sequence) and the ration between successive terms (r), then we can find out anything else we want to about that pattern- including the sum of a given number of terms and/or if we know the sum, we can find how many terms were added to reach that sum. Both of these skills are based on manipulating the explicit formula for the sequence to find missing information and then using the formula for a geometric series.
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