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
the answer to 6×7 is equal to 102
Answer:
x=1
Step-by-step explanation:
5x+9 - x= 13
Combine like terms
4x +9 = 13
Subtract 9 from each side
4x+9-9 = 13-9
4x = 4
Divide each side by 4
4x/4 = 4/4
x=1
Answer:
F=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(6−f)−4=3f−4
(3)(6)+(3)(−f)+−4=3f+−4(Distribute)
18+−3f+−4=3f+−4
(−3f)+(18+−4)=3f−4(Combine Like Terms)
−3f+14=3f−4
−3f+14=3f−4
Step 2: Subtract 3f from both sides.
−3f+14−3f=3f−4−3f
−6f+14=−4
Step 3: Subtract 14 from both sides.
−6f+14−14=−4−14
−6f=−18
Step 4: Divide both sides by -6.
−6f−6=−18−6f=3
Answer:
f=3
<u>We are given</u>
- Radius of Earth; 6.4 x 100 meters = 640 meters
Clearly, the shape of the earth is a sphere. Thus, to determine the volume of the earth, we will use a formula that determines the volume of a sphere.
When we substitute the radius in the formula, we get;
Take π as 3.14
Simplify the numerator;
Divide the numerator by 3;
