Answer:
The 53rd term of this arithmetic sequence is -805.
Step-by-step explanation:
The general rule of an arithmetic sequence is the following:
In which d is the common diference between each term, that is, 
.
To find the nth term of the sequence, this equation can be written as:
27,11, -5
So ![a_{1} = 27, a_{2} - a_{1} = 11 - 27 = -16[/tex[tex]a_{n} = a_{1} + (n-1)d](https://tex.z-dn.net/?f=a_%7B1%7D%20%3D%2027%2C%20a_%7B2%7D%20-%20a_%7B1%7D%20%3D%2011%20-%2027%20%3D%20-16%5B%2Ftex%3C%2Fp%3E%3Cp%3E%5Btex%5Da_%7Bn%7D%20%3D%20a_%7B1%7D%20%2B%20%28n-1%29d)
The 53rd term of this arithmetic sequence is -805.
It has to be the last one, D. I did it over 3 times to make sure.
It would be 15 because the 35 people at most minus the 20 students equals 15 so that would be the greatest number of adults allowed to be there.
It equals <span>5703.45379.
Happy studying ^_^</span>
Answer: k = 59°
Steps:
180 - 77 = 103
103 + 18 + k = 180
121 + k = 180
k = 180 - 121
k = 59
Check:
103 + 18 + k = 180
103 + 18 + 59 = 180
180 = 180 ✅
