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
6 math books would be 126
5 English books would be 150
126+150=276
Step-by-step explanation:
x = 1, y = 5
x = 2, y = 3
x =3, y= 1
x=4 y=-1
Answer:
Step-by-step explanation:
Supplementary angles add up to 180°.
“θ is 148° more than its supplement”
Supplement of θ = 180°-θ
θ = (180°-θ) + 148°
2θ = 328°
θ = 164°
Supplement of θ = 180°-164° = 16°
