The defining characteristic of all geometric sequences is a common ratio which is a constant when dividing any term by the term preceding it.
In this case the common ratio is: -6/9=4/-6=r=-2/3
An infinite series will have a sum when r^2<1, so in this case the sum will converge to an actual value because (-2/3)^(+oo) approaches zero.
The sum of any geometric sequence is:
s(n)=a(1-r^n)/(1-r), since we have a common ratio of -2/3 and we want to calculate an infinite series, ie, n approaches infinity, the sum becomes simply:
s(n)=a/(1-r) (because (1-r^+oo) approaches 1 as n approaches +oo)
So our infinite sum is:
s(+oo)=9/(1--2/3)
s(+oo)=9/(1+2/3)
s(+oo)=9/(5/3)
s(+oo)=27/5
s(+oo)=54/10
s(+oo)=5.4
Answer:
Chuck's rate of travel = 63mph
Step-by-step explanation:
Given chuck travels 252 miles and dana travels 228 miles. Given that they both take same time to travel .
Let the travelling time be T.
Also given that the speed of chuck is 6mph greater than that of dana's.
let the speed of chuck be x. Now
Speed = 
x= 
Now for Dana's speed
x-6= 
When we divide both the equations we get
x=63mph
Hlo mate :-
Solution :-
☆ 1/8 > 2/10 > 3/4 > 11/12 ans
It’s A
six more than a number which is y- (y+6)
is 10.03
so y+6=10.03
Answer:
1
2
0.5
Step-by-step explanation:
