Answer:
The first four terms of the sequence are-6, -2, 2 and 6
Step-by-step explanation:
The given sequence is 
In order to find the first four term of the sequence we put n =0, 1, 2 and 3.
For n =0

For n =1

For n =2

For n =3

Therefore, the first four terms of the sequence are
-6, -2, 2 and 6
Use ax^2 + bx + c = 0
ac = -8
b = 2
The factors are 4 and -2.
Plug them into the equation:
x^2 + 4x - 2x - 8
Then factorise it:
x ( x + 4) - 2 (x + 4)
so m = 4
(x + 4)^2
Answer:
Check image
Step-by-step explanation:
Answer:
The answer is 7/24.
Step-by-step explanation:
I attached a picture, but I'll try to walk through it here.
1) A negative and a negative makes a positive, so h becomes positive.
2) I added 7/8 to both sides, in order to "isolate the variable", which simply means to get h by itself, on one side of the equation (you'll likely hear it said both ways).
3) I multiplied 7/8 by 3/3, and multiplied -7/12 by 2/2. This is known as a common denominator, which in this case is 24. You can only add and subtract fractions that have a common denominator.
4) Multiply both of the fractions to get 21/24 + (-14/24). "Adding a negative" is the same thing as subtracting.
5) 21 - 14 = 7, and since our denominators are the same, the answer is 7/24.
You can confirm the answer by substituting, or "plugging" 7/24 into your original equation, in place of h.
12
<h3>
Further explanation</h3>
<u>Given:</u>
In an auditorium,
of the students are fifth graders,
are fourth graders, and
of the remaining students are second graders.
There are 96 students in the auditorium.
<u>Question:</u>
How many second graders are there?
<u>The Process:</u>
The least common multiple (LCM) of 3 and 6 is 6.
Let us draw the diagram of all students.

of the students are fifth graders, or 1 of 6 units above, that is 
are fourth graders, or 2 of 6 units above, that is 
The remainder is 6 units - (1 unit + 2 units) = 3 units, that is
. Or, 96 - 16 - 32 = 48 students.
of the remaining students are second graders.
Let us count how many second graders are there.

Thus, there are 12 second-graders in the auditorium.
- - - - - - - - - -
Quick Steps




We crossed out 24 and 96.


<h3>
Learn more</h3>
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Keywords: In an auditorium, 1/6 of the students, fifth graders, 1/3, fourth, 1/4, the remaining students, second, 96, how many, second graders