Because the difference between any term and the previous term is a constant, this is an arithmetic sequence because of that constant which is referred to as the common difference, d. Which in this case is -35--38=-32--35=3
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.
In this case a=-38 and d=3 so
a(n)=-38+3(n-1) which we can simplify to
a(n)=-38+3n-3
a(n)=3n-41, so the 52nd term is:
a(52)=3(52)-41
a(52)=156-41
a(52)=115
1. 64
2.32
3. 16
4. 8
5. 4
6. 2
Answer:

Step-by-step explanation:
We want to combine alike terms so
-2/3c+14c & -9/5+3/10
14c-2/3

Multiply 14/1 by 3/3 to get the denominators the same

Subtract

simplify

now

Multiply 9/5 by 2/2

Subtract

Simplify

put both together

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
12.5
Step-by-step explanation:
f of x just means y, so you're just finding y when x = 1/2
Answer:
A.) 36
Step-by-step explanation:
For a perfect square trinomial, a = 1 b = 2x c = x². For an example, (x+3)² = x² + 6x + 9.
For this trinomial, divide "b" by 2 to get 6. Square this number and you will have 36.
x² + 12x + 36