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..
Given:
The equation is,

Explanation:
Simplify the equation by using logarthimic property.

Simplify further.

Solve the quadratic equation for x.

From the above equation (x - 6) = 0 or (x - 3) = 0.
For (x - 6) = 0,

For (x - 3) = 0,

The values of x from solving the equations are x = 3 and x = 6.
Substitute the values of x in the equation to check answers are valid or not.
For x = 3,

Equation satisfy for x = 3. So x = 3 is valid value of x.
For x = 6,

Equation satifies for x = 6.
Thus values of x for equation are x = 3 and x = 6.
Rewrite the equation in slope intercept form:
Y -6 = -3(x - -8)
Use the distributive property on the right side first:
Y -6 = -3x -24
Add 6 to both sides
Y = -3x -18
The slope is the number in front of the x variable.
Slope = -3
Answer:
33.4933333333, rounded, 
4/3x3.14x2x2x2=33.4933333333
16 pieces may be cut. This is because we need to divide 36 by 2 and 1/4 to find how many pieces hat can be cut. First, we need to change everything into a fraction (or improper fraction). 2 and 1/4 = 9/4 (if you need help trying to find out how to get this, just ask). Then, since we are doing division, we flip the 9/4 around to get 4/9. 36 times (it's not dividing anymore since we flipped the 9/4) 4/9 = 16 pieces. I hope this helps! :D