The sixth term of an arithmetic sequence is 6
<h3>How to find arithmetic sequence?</h3>
The sum of the first four terms of an arithmetic sequence is 10.
The fifth term is 5.
Therefore,
sum of term = n / 2(2a + (n - 1)d)
where
- a = first term
- d = common difference
- n = number of terms
Therefore,
n = 4
10 = 4 / 2 (2a + 3d)
10 = 2(2a + 3d)
10 = 4a + 6d
4a + 6d = 10
a + 4d = 5
4a + 6d = 10
4a + 16d = 20
10d = 10
d = 1
a + 4(1) = 5
a = 1
Therefore,
6th term = a + 5d
6th term = 1 + 5(1)
6th term = 6
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Answer:
Height: 6 feet, Length: 14 feet, Width: 35 feet.
Step-by-step explanation:
The volume of a rectangular prism is length * width * height.
We know that the height of the pool is 6 feet and that one side is 2.5 times longer than the other. It doesn't matter which side, as long it's not the height. So let's just say the width is 2.5 times bigger than the length.
That means our equation can be rewritten as V = height * length* 2.5 * length.
Plugging in what we know, we get:

Now we need to find the width.

Answer:

Step-by-step explanation:
Given that:
Difference of two trinomials is 
One of the two trinomials is 
To find:
The other trinomial = ?
Four options are:

Solution:
Let the two trinomials be A and B.
Given A - B = 
B = 
We have to find the other trinomial A.
A - B = 
A - (
) = 
A =
+ (
)
A = 
So, the correct answer is
.
You can combine the same numbers with the same variables using the operation sign for each. For example, using your equation, you would combine the 3n and 4n which is 7n. So your equation would be
7n - 2