Given the sequence:
6, 10, 14, 18,...
We will find the 75th term
The given sequence is an arithmetic sequence
Because there is a constant common differnce
d = 18 - 14 = 14 - 10 = 10 - 6 = 4
The first term = a = 6
The general formula of the arithmetic sequence is as follows:
Where: n is the nth term
To find the 75th term, substitute with n = 75 and a = 6, d = 4
So, the answer will be the 75th term = 302
Answer:
Step-by-step explanation:
Perimeter of the given triangular above = sum of all its sides.
Collect like terms
If Bob creates a new triangle that is 7 less than twice of the perimeter of the triangle above, the expression of the new triangle would be:
Simplify
New perimeter =
Answer:
12x-39
Step-by-step explanation:
40-1=39
Answer:
all real numbers
only the range value is with a minimum of -1 and a maximum of 1 unless there's a vertical shift.
Answer:
Step-by-step explanation:
If you work through it as if you were doing polynomial long division you just have to work through the first step and then compare it to the answer. In polynomial long division you always divide the leading term of the dividend and divide it by the leading term of the divisor. In this case 24x^2 /ax = -8x. So this is a pretty simple calculation to find what a is. the xs cancel out so you get 24x/a = -8x and from here you can divide both sides by x, multiply both sides by a and then divide both sides by -8.
24x/a = -8
24/a = -8
24 = -8a
-3 = a
Now just follow through with the whole long division to make sure, but using this method should get you the right answer.
