# Find the Sum of the Series -8+(-4)+(-2)+(-1)+(-1/2) Remove parentheses.
Remove parentheses.
Remove parentheses.
Remove parentheses.
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by gives the next term. In other words, .
Geometric Sequence:
This is the form of a geometric sequence.
Substitute in the values of and .
Simplify the expression.
Apply the product rule to .
One to any power is one.
Combine and .
Move the negative in front of the fraction.
This is the formula to find the sum of the first terms of the geometric sequence. To evaluate it, find the values of and .
Replace the variables with the known values to find .
Simplify the numerator.
Apply the product rule to .
Anything raised to is .
Anything raised to is .
Divide by .
Subtract from .
Simplify the denominator.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Move the negative in front of the fraction.
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Multiply by zero.
Multiply by .
Multiply by .
Find the Sum of the Series -8+(-4)+(-2)+(-1)+(-1/2)     