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put this solution on YOUR website!The answer is 65,534
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The sum of the terms in a geometric sequence (S) is given by the equation:
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in which a is the first term, r is the ratio between terms, and n is the number of terms.
In this problem a = 2, r = 2, and n = 15. Substituting these values into the equation
leads to:
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A calculator will tell you that 2^15 = 32,768. Substituting this into the equation results in:
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Simplify the terms that are inside the parentheses to get:
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Do the multiplication in the numerator:
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and the division by -1 results in:
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Hope this helps you see how to use the equation for the sum of the terms in a geometric
progression.