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..
Answer:
0.5?
Step-by-step explanation:
Let's find the slope for line t first.
We can use the given points 2,6 and 10,1 to find the slope using the slope formula.

1 - 6 / 10 - 2
-5/8
The slope is -5/8.
Because we know the slope of this line, we can find the slope of the next line instantly, as they are perpendicular.
When a slope is perpendicular to another, it is equal to the negative reciprocal.
Negative reciprocal of -5/8 = 8/5
<h3>The slope of line u is 8/5</h3>
Answer:
Rectangular Pyramid
Step-by-step explanation:
we know that
A <u><em>rectangular pyramid</em></u> is a three-dimensional figure that has a rectangular base and four lateral triangular faces
so
The total number of faces is 5 (one rectangular face plus four triangular faces)
The total number of vertices is 5 (four at the base and one at the apex)