Answer:
Option B is correct.
sum of given geometric series is, 255
Step-by-step explanation:
Evaluate the geometric series: ![\sum_{i=1}^{8} 2^{i-1}](https://tex.z-dn.net/?f=%5Csum_%7Bi%3D1%7D%5E%7B8%7D%202%5E%7Bi-1%7D)
we can write this as:
![1+2+4+.......+128](https://tex.z-dn.net/?f=1%2B2%2B4%2B.......%2B128)
Formula for the sum of the geometric series:
for r > 1
where
a is the first term
n is the number of terms
r is the common ratio
In the given series:
common ratio (r) = 2>1, n = 8 and first term(a) = 1
Since,
![\frac{2}{1} = 2](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B1%7D%20%3D%202)
and so on...
then substitute the given values in [1] we have;
![S_n = \frac{1((2)^8-1)}{2-1}](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7B1%28%282%29%5E8-1%29%7D%7B2-1%7D)
or
![S_n = 256-1 = 255](https://tex.z-dn.net/?f=S_n%20%3D%20256-1%20%3D%20255)
Therefore, the sum of given geometric series is, 255
Answer:
Step-by-step explanation:
Set the cost equation C(l) = l3 – l2 + l + 2.5 equal to $11.00 and solve for l:
C(l) = 2l + 2.5 = $11, or
2l = 8.5, or l = length = 4.25 inches
Answer:
I think it is 3 + (6 + 2) or 11
Step-by-step explanation:
You first find 3 pens and 6 markers. Then you find 2 more markers at the bottom of your locker. The common answer I think would be 3 + (6 + 2) or If your teacher wants a whole answer, 11.
I hope this helped
I am sorry if I got it incorrect
Answer:
theres the graph
Step-by-step explanation: