Answer:
425.25
Step-by-step explanation:
Since we are given 36th term as 14 and we know common difference is 
, it means that from the first term, we add to each and get 14 on the 36th term. To figure out the first term, thus, we have to subtract 35 times from 14. Let's do it to get first term:
The sum of arithmetic sequence formula is:
![S_{n}=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Where,
is the sum of nth term (we want to figure this out for first 36 terms)
is the first term (we figured this out to be 9.625)
is the term number (36 for our case)
is the common difference (given as )
Substituting all the values, we get:
![S_{36}=\frac{36}{2}[2(9.625)+(36-1)(\frac{1}{8})]\\S_{36}=18[19.25+4.375]\\S_{36}=18[23.625]\\S_{36}=425.25](https://tex.z-dn.net/?f=S_%7B36%7D%3D%5Cfrac%7B36%7D%7B2%7D%5B2%289.625%29%2B%2836-1%29%28%5Cfrac%7B1%7D%7B8%7D%29%5D%5C%5CS_%7B36%7D%3D18%5B19.25%2B4.375%5D%5C%5CS_%7B36%7D%3D18%5B23.625%5D%5C%5CS_%7B36%7D%3D425.25)
First answer choice is right.
Answer:
I would say about 7 feet and 1 inch
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
Subtract 25x 125=-25x+50
Subtract 50 125-50= -25x
Simplify 75= -25x
Divided 75 by negatrive 25
Answer: It is Geometric.
Step-by-step explanation: Because it does not have a fixed pattern that adds or subtract which arithmetic does.
Answer:
204,160,000
Step-by-step explanation:
Assuming the sample is a good representation of the people from the United States.
Since there were 1,000 surveyed... and 638 of them were wearing glasses, that makes a proportion of 638 out of 1,000 people, or 63,8 / 100 people... so 63.8%... or 0.638
So, if we assume that the US population is of 320 million, how many people does that make wearing glasses.... we just have to multiply 320M by 0.638
G = 320,000,000 * 0.638 = 204,160,000
