What is the sum of the geometric sequence 1, 3, 9, … if there are 14 terms? 1,285,956 2,391,484 3,556,228 4,287,382
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Answer:
The sequence is a geometric sequence, and the sum of the geometric sequence is 2391484How to determine the sum?The sequence is given as:1,3,9The above sequence is a geometric sequence, with the following parameters:First term, a =1Common ratio, r = 3Number of terms, = 14The sum is calculated using:[tex]S_n =\frac{a * (r^n - 1)}{r - 1}[/tex]So, we have:[tex]S_n =\frac{1 * (3^{14} - 1)}{3 - 1}[/tex]EvaluateS14 = 2391484Hence, the sum of the geometric sequence is 2391484Read more about geometric sequence at:
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