The initial term of this geometric series is 4, and the common ratio is -1/2. The sum is given by

The sum is
approximately 2.66.
It is -.78125 if you round it it’s 1
Solve for x. The multiplicity of a root is the number of times the root appears.
x=-7 (multiplicity of 1)
x=3 (multiplicity of 2)
x=2-i (multiplicity of 1)
x=2+1 (multiplicity of 1)
Dress pants for $ 40, a shirt for $ 30, a tie for $ 20
he uses the dress pants coupon....which is the second coupon which gives him y percent off the dress pants
so ur answer is : (1 - y) * 40
IF -2/5 + -1/4 IS IN PARENTHESES:
skip this part if its not
(1/2) / (-2/5 - 1/4)
(-2/5 - 1/4) is equivalent to (-8/20 - 5/20) = -13/20
substitute -13/20 for (-2/5 - 1/4)
1/2 / -13/20
remember that division is the inverse of multiplication, so if we flip the second fraction, we can change the division sign to multiplication (when doing this, never flip the first fraction, you will not get the right answer)
1/2 * -20/13
simplify -20/2 to get -10
1 * -10/13 = <u>-10/13</u>
IF -2/5 + -1/4 IS NOT IN PARENTHESES:
1/2 / -2/5 +-1/4
PEMDAS : multiplication/division comes before addition / subtraction
1/2 / -2/5 = (apply the flip rule : read the chunk of text above if you don't know what it is) 1/2 * -5/2 = -5/4
subtract 1/4 form -5/4 now
-5/4 - 1/4 = -6/4
simplify
= <u>-3/2</u>