Problem

Find the sum of the infinite geometric series: 3,6,12,24,...

Answer

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Answer

Substituting the given values into the formula, we have S=31−2

Steps

Step 1 ：First, we need to identify the common ratio of the geometric series. We do this by dividing the second term by the first term, and we find that the common ratio r=63=2

Step 2 ：Next, we use the formula for the sum of an infinite geometric series, which is S=a1−r, where a is the first term and r is the common ratio.

Step 3 ：Substituting the given values into the formula, we have S=31−2

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