Answer:
The 64th term of the arithmetic sequence is -1075.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.
The nth term of an arithmetic sequence is given by:
![a_n = a_1 + (n-1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%2B%20%28n-1%29d)
In which
is the first term.
−4,−21,−38
First term -4, so ![a_1 = -4](https://tex.z-dn.net/?f=a_1%20%3D%20-4)
Common difference of ![d = -38 - (-21) = -21 - (-4) = -17](https://tex.z-dn.net/?f=d%20%3D%20-38%20-%20%28-21%29%20%3D%20-21%20-%20%28-4%29%20%3D%20-17)
Thus
![a_n = a_1 + (n-1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%2B%20%28n-1%29d)
![a_n = -4 - 17(n-1)](https://tex.z-dn.net/?f=a_n%20%3D%20-4%20-%2017%28n-1%29)
Find the 64th term of the arithmetic sequence
This is
. So
![a_n = -4 - 17(n-1)](https://tex.z-dn.net/?f=a_n%20%3D%20-4%20-%2017%28n-1%29)
![a_{64} = -4 - 17(64-1) = -4 - 1071 = -1075](https://tex.z-dn.net/?f=a_%7B64%7D%20%3D%20-4%20-%2017%2864-1%29%20%3D%20-4%20-%201071%20%3D%20-1075)
The 64th term of the arithmetic sequence is -1075.
Answer:
400
Step-by-step explanation:
100x4=4 lots of 100
Consider that the leading coefficient of the given quadratic function is positive, it means that y, for values of x => +oo, approaches to +oo too. And for x => -oo, the function approaches to +oo.
Then, based on the previous explanation, you can conclude that the end behavior of the given polynomial is:
f(x) => oo as x => ± oo third option
Remember:
A triangle is always 180 degrees and so is a straight line so 360 degrees in total:
1) Add 92 and 123 which equals 215
Then 360 subtracted by 215 is 145
Answer: 145
2) add 100 and 25= 125
360-125= 235
Answer: 235 degrees