Answer:
1/3
Step-by-step explanation:
The formula for computing the sum of an infinite geometric series is
where r is between -1 and 1 and
is the common ratio, and
is the first term of the series.
So let's plug in:


I multiplied bottom and top by 10.
I divided top and bottom by 3.
The sum is 1/3.
Answer:
17/36
Step-by-step explanation:
We have to find a common denominator, so the first common denominator for 4 and 9 is 36. 9x4=36, so we multiply 2 by 4, which equals 8. 4x9-36, so we multiply the 1 by 9, and get 9. Then we add the numerators, 8 and 9, and get 17. So it's 17/36
Answer:
10 + (2 x 3)^2 / 4 x (1/2) ^3
First do the parentheses
2 x 3 = 6
1 / 2 = 0.5
We are left with
10 + 6^2 /4 x 0.5^3
Do exponents
6 x 6 = 36
0.5 x 0.5 x 0.5 = 0.125
10 + 36 / 4 x 0.125
Divide by 4 and multiply by 0.125
36 / 4 = 9
9 x 0.125 = 1.125
We are left with
10 + 1.125 = 11.125
The answer is 11.125
Step-by-step explanation: