Answer:
X Y
-5 7
-2 1
-1 -1
2 -7
Step-by-step explanation:
If x = -5, then:
y = -3 -2(-5)
y = -3 + 10
y = 7
If x = -2, then:
y = - 3 -2(-2)
y = -3 + 4
y = 1
If x= -1, then:
y = -3 -2(-1)
y = - 3 + 2
y = -1
If x=2, then:
y = -3 -2(2)
y = -3 -4
y = -7
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
Answer:
130
Step-by-step explanation:
62.4 divided by 48 to get the 1 percent of the number, then multiply by 100 to get the number.