One side of a square is 3x + 2. Which expression represents the perimeter?
2 answers:
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An arithmetic sequence with first term a, and a common distance d si as follows:
m, m+d, m+2d, m+3d, ...
(for example: 3, 8, 13, 18 .... m=3, d=5)
let
be the n'th term of the arithmeti sequence
m, m+d, m+2d, m+3d, ...
then
so it is clear that the n'th term, si given by :
compare the rule we found with the given rule A(n)=-3+(n-1)(-2.2)
it is clear that m=-3, and d=-2.2,
so the sequence
m, m+d, m+2d, m+3d, ...
becomes:
-3, -3-2.2, -3-2*2.2, -3-3*2.2, ....
so
-3, -5.2, -7.4, -9.6
the first term is -3, the fourth term is -9.6, the 10th term can be found by plugging in n=10 in the formula:
<span>A(10) = –3 + (10 – 1)(–2.2)=-3+9(-2.2)=-3-19.8=-22.8
remark, we could have use the formula directly and solve for A(1), A(4) and A(10),
but with the explanations we see how we find derive the formula, and makes it easier to derive, even when we don't remember it properly.
Answer:
1st term=-3
2nd term=-9.6
10th term = -22.8</span>
m, m+d, m+2d, m+3d, ...
(for example: 3, 8, 13, 18 .... m=3, d=5)
let
m, m+d, m+2d, m+3d, ...
then
so it is clear that the n'th term, si given by :
compare the rule we found with the given rule A(n)=-3+(n-1)(-2.2)
it is clear that m=-3, and d=-2.2,
so the sequence
m, m+d, m+2d, m+3d, ...
becomes:
-3, -3-2.2, -3-2*2.2, -3-3*2.2, ....
so
-3, -5.2, -7.4, -9.6
the first term is -3, the fourth term is -9.6, the 10th term can be found by plugging in n=10 in the formula:
<span>A(10) = –3 + (10 – 1)(–2.2)=-3+9(-2.2)=-3-19.8=-22.8
remark, we could have use the formula directly and solve for A(1), A(4) and A(10),
but with the explanations we see how we find derive the formula, and makes it easier to derive, even when we don't remember it properly.
Answer:
1st term=-3
2nd term=-9.6
10th term = -22.8</span>
Hey there!
Let's say that x-1 is negative:
The first step is to multiply both sides by 2:
Now, move 1 to the right, using the opposite operation:
Divide both sides by -1:
- Note: Since the negative sign is already entered, all you need to enter is 13.
I hope you find my answer helpful.
Good luck!
Have a great day!