Evaluate sum from n=3 to 12 of 20(0.5)^(n-1)

Math
Split the summation to make the starting value of equal to .
Evaluate .
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The formula for the geometric series is:
Substitute the values into the formula and make sure to multiply by the front term.
Simplify.
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Simplify the numerator.
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Raise to the power of .
Multiply by .
Subtract from .
Reduce the expression by cancelling the common factors.
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Subtract from .
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Evaluate .
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Expand the series for each value of .
Simplify.
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Simplify each term.
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Subtract from .
Anything raised to is .
Multiply by .
Subtract from .
Evaluate the exponent.
Multiply by .
Add and .
Replace the summations with the values found.
Subtract from .
Evaluate sum from n=3 to 12 of 20(0.5)^(n-1)

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