What is the sum of an infinite geometric series if the first term is 8 and the common ratio is 1⁄2?

a. 16
b. 8
c. 32
d. 4

A

Step-by-step explanation:

The sum to infinity of a geometric series is

S (∞ ) = ( - 1 < r < 1 )

where a is the first term 8 and r is the common ratio, hence

S(∞ ) = = = 16

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.