The answer is 10 to the power of 10. Its becase first 10 simplify with the base of the logarithm (gives 1) and then we have 1 multiply times 10.
The sequence given is 2, 6, 10, 14
Noticing this sequence, we will find that the sequence increases by 4 each time. This means that:
The next number = the current number + 4
In other words:
2
2+4 = 6
6+4 = 10
10+4 = 14
14+4 = 18
Therefore, the next number in the sequence would be 18
Answer:
It is a fibonacci sequence
Step-by-step explanation:
The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34 etc
Get the x terms by themselves on one side and a constant on the other side of the equal sign...
4x^2-8x=1 make the leading coefficient equal to one...
x^2-2x=1/4 now halve the linear coefficient, -2 in this case, square it, and add that value to both sides of the equation...-2/2=-1, -1^2=1 so
x^2-2x+1=1+1/4
x^2-2x+1=5/4 now the left side is a perfect square...
(x-1)^2=5/4 take the square root of both sides...
x-1=±√(5/4) add 1 to both sides
x=1±√(5/4)
Call the length a, the width b
Perimeter = (a+b) x 2
And since we have (a+b) x 2 = 43.6, a + b = 43.6 : 2 = 21.8
a + b = 21.8
a - b = 7
-> a + b + (a - b) = 28.8
2a = 28.8
a = 14.4
b = 7.4
So, the area of the rectangle is 14.4 x 7.4 = 106.56