Answer:
The equation for the nth term of the given arithmetic sequence is: 
Step-by-step explanation:
We need to write an equation for the nth term of the arithmetic sequence:
15,28,41 ....
The equation for arithmetic sequence is: 
Where
is the nth term,
is first term and d is common difference
In the given sequence we have:
a₁ = 15
a₂ = 28
We can find common difference using the formula:

So, the common difference d is 13
Now, equation for nth term will be:

So, the equation for the nth term of the given arithmetic sequence is: 
where n=1,2,3..
The rectangle with maximum area will actually be a square.
Each side will be of length 7/4 = 1 3/4.
Answer:
4.4 t = 13.2
t = 13.2 / 4.4 = 3
t = 3
Step-by-step explanation:
Answer:
The constant of proportionality is 5.
Step-by-step explanation:
If the quantity q varies inversely with the square of m and directly with the product of r and x, then the variation equation is

When q=2.5, m= 4 and the
product of rx = 8.
We plug in this values to get;



Multiply both sides by 2

The constant of proportionality is 5.
The answer is 64, because the amount is doubled each day.