Answer:
a
Step-by-step explanation:
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:
m = 10
Step-by-step explanation:
Given w is inversely proportional to m then the equation relating them is
w =
← k is the constant of variation
To find k use the condition w = 8, m = 25 , then
8 =
( multiply both sides by 25 )
200 = k
w =
← equation of variation
When w = 20 , then
20 =
( multiply both sides by m )
20m = 200 ( divide both sides by 20 )
m = 10
Answer:
y= 10
Step-by-step explanation:
y = 2 is a horizontal line
It goes through the points (-6,10)
The y value is 10
y= 10