The common difference is 19-7 = 31-19 = 12, so this is an arithmetic sequence. The initial term (when n=1) is 7.
The explicit formula for the terms of an arithmetic sequence is
an = a1 + d(n-1)
where "a1" is the first term and "d" is the common difference. The formula that matches a1=7 and d=12 is
B. a(n) = 7+(n-1)·12
The rule is (x,y)-->(x,-y). If you look at a grid, you can see that only the y-value changes.
Answer:
(4, 0 )
Step-by-step explanation:
A translation of 1 unit left, subtract 1 from the original x- coordinate
A translation of 2 units down, subtract 2 from the original y- coordinate
The rule is (x, y ) → (x - 1, y - 2 ), thus
(5, 2 ) → (5 - 1, 2 - 2 ) → (4, 0 )
F(3)=3(3) -4
f(3)=9-4
=5
f(5)=3(5)-4
f(5)=15-4
=11
Answer: the first option.
Step-by-step explanation: