The sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r), s(n)=nth sum, a=initial value, r=common ratio, n=term #
In this case we are told that a=6 and r=1/3 so:
s(n)=6(1-(1/3)^n)/(1-1/3)
s(n)=6(1-(1/3)^n)/(2/3)
s(n)=9(1-(1/3)^n), so the sum of the first 5 term is:
s(5)=9(1-(1/3)^5))
s(5)=9(1-(1/243))
s(5)=9(242/243)
s(5)=2178/243
s(5)=242/27
s(5)=8 26/27 ...if you wanted an approximation s(5)≈8.96 to the nearest hundredth...
I think the area will be 20
Step-by-step explanation:
(b×h) 1/2
8×5=40
40÷1/2= 20
P.S am not that good at math but I hope this helps
Answer:
5/2
Step-by-step explanation:
The x value is being multiplied by 5/2
and the slope is the value the x value is being multiplied by
so the slope is
5/2
A because it helps you answer
This would be y=-4x-8. This equation is in slope-intercept form, where the slope is -4/1 and the y-intercept is at point (0,-8).
