Answer:
= 3n + 3
Step-by-step explanation:
The sequence is arithmetic with explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
From the recursive formula
a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then
= 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3
Answer:
is the amount, in millions, for the number of Apple iPods sold in t years after 2005.
Step-by-step explanation:
Linear function:
A linear function has the following function:
In which m is the slope(the value that y changes by when x changes by 1) and b is the y-intercept(the initial value of the output).
Finding the value in 2005:
This is b.
The number of Apple iPods sold in 2009 was 54.13 million. That number decreased approximately linearly to 26.38 million iPods sold in 2013.
So in 4 years, it decreased from 54.13 - 26.38 = 27.75 million.
So the value in 2005 should also be 27.75 million more than in 2009, that is 54.13 + 27.75 = 81.88. So
Using A for y and t for x
Finding the slope:
When we have two points, the slope is given by the change in the output divided by the change in the input.
In 4 years, the amount decrease by 27.75 million. So
So
is the amount, in millions, for the number of Apple iPods sold in t years after 2005.