The explicit rule for given sequence is:
Further explanation:
We have to determine first of all if the sequence is arithmetic or geometric.
- If the difference of two consecutive terms is same then the sequence is arithmetic sequence
- If the ratio of two consecutive terms is same then the sequence is geometric sequence
Given sequence is:
12,22,32,42
The common difference is 10 which is same for all consecutive terms. So the sequence is an arithmetic sequence.
The general formula for arithmetic sequence is:
Putting the values of a1 and d
The explicit rule for given sequence is:
Keywords: Arithmetic sequence, Common Difference
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Answer:
wait im a little confused sorry but im going to try my best
Step-by-step explanation:
50x2=100. 5×2=10. 500x2=1,000
1,000÷10=100. 100÷10=10. 10,000÷10=1,000
Use Pythagorean theory
C^2 = a^+ b^2
In this case you have c and a
B^2= c^2-a^2
B^2 = 12^2-5^2
B^2= 144-25
B^2 = 119
Square root both sides
X= 10.90871
Answer:
2
Step-by-step explanation:
The given equation of line is
We need to find the slope of a line which is perpendicular to the given line.
The given equation can be rewritten as
...(i)
If a line is defined as 
, then the slope of the line is
In equation (i), a=3, b=6 and c=18. So, slope of the line is
Let 
be the slope of perpendicular line.
We know that product of two perpendicular line is -1.
Multiply both sides by -2.
Therefore, the slope of perpendicular line is 2.
Now we look at the common denominator.
It is x(x + 2)(x - 2).
x cannot be zero, -2 or 2 because that would cause a zero in the denominator.
Since we get x = 8, and x = 8 does not have to be excluded from the domain, the answer is x = 8.
Answer: x = 8
