Hello there!
Alright so, 100% is equal to 1, because think about it as a fraction, 2/3 is 66%, because it's not full, and 2/3 is 66%, but it's also .66(etc). So, in order to get 100% you'd have to have a 3/3.
I'm going to use 4/4. so in order to go above 100% you'd have to add more.
8/4 is 200% because it divides to 2.00
So now just add 3 more because 3/4 is 75%
11/4 is 275%
Which also divides to 2.75
2.75 is your answer, hope this helped!
Answer:
The sum is approximately 42.56
Step-by-step explanation:
Notice that you are dealing with a series whose first term is :
![3 \, (\frac{3}{2})^0 = 3\,*\,1=3](https://tex.z-dn.net/?f=3%20%5C%2C%20%28%5Cfrac%7B3%7D%7B2%7D%29%5E0%20%3D%203%5C%2C%2A%5C%2C1%3D3)
followed by sum of terms of the form:
![a_1=3\,(\frac{3}{2} )^1\\a_2=3\,(\frac{3}{2} )^2\\a_3=3\,(\frac{3}{2} )^3\\a_4=3\,(\frac{3}{2} )^4\\a_5=3\,(\frac{3}{2} )^5](https://tex.z-dn.net/?f=a_1%3D3%5C%2C%28%5Cfrac%7B3%7D%7B2%7D%20%29%5E1%5C%5Ca_2%3D3%5C%2C%28%5Cfrac%7B3%7D%7B2%7D%20%29%5E2%5C%5Ca_3%3D3%5C%2C%28%5Cfrac%7B3%7D%7B2%7D%20%29%5E3%5C%5Ca_4%3D3%5C%2C%28%5Cfrac%7B3%7D%7B2%7D%20%29%5E4%5C%5Ca_5%3D3%5C%2C%28%5Cfrac%7B3%7D%7B2%7D%20%29%5E5)
and this is a geometric sequence of common ratio given by:
(the value you need to multiply one term of the geometric sequence in order to find the following one)
Then, we can use the general formula for a partial sum of a geometric sequence for these last 5 terms for which m=5, the common ratio r =
, and
= 3:
![S_m=a(r^m-1)/(r-1)\\S_5=3 ((\frac{3}{2})^5 -1)/(\frac{3}{2}-1)\\S_5=39.5625](https://tex.z-dn.net/?f=S_m%3Da%28r%5Em-1%29%2F%28r-1%29%5C%5CS_5%3D3%20%28%28%5Cfrac%7B3%7D%7B2%7D%29%5E5%20-1%29%2F%28%5Cfrac%7B3%7D%7B2%7D-1%29%5C%5CS_5%3D39.5625)
So, the total sum of the six terms is:
Total sum = 3 +39.5625 = 42.5625
which can be rounded to hundredth: 42.56
Answer:
= 0.853 (rounded)
Step-by-step explanation:
Copy and Paste this link to find a thorough explanation.
https://web.cs.hacettepe.edu.tr/~bbm205/arxiv/Fa15ButSoln.pdf
Answer:
4a (n-1) + 5
Step-by-step explanation:
1th=6
2nd=29
3rd=121
4th=489
.
.
nth
if n=2
a2 = 4a(2-1) + 5 = 4 a(1) + 5 = 4 (6) + 5= 29
a3 =4a(3-1) + 5 = 4 a(2) + 5 = 4 (29) + 5= 121
try finding a4, check wether the answer is 489
Answer:
8
Step-by-step explanation:
Step 1: Convert to math
2 times 4 = 2 x 4
Step 2: Multiply
2 x 4 = 8
This is the same as 2 x 2 x 2 or 2³