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:
x=-16
Step-by-step explanation:
6x+12=4x-20
2x=-32
x=-16
Answer:
x= -1/3 or -2
Step-by-step explanation:
3x^2 +3x= -2x +2-4
3x^2 + 5x +2=0
by factorization method
3x(x+2) 1(x+2)=0
(3x+1)(x+2)
