Which numerical pattern is a linear progression? 1 2 , 2 3 , 3 4 , 4 5 , . . . 1 2 , 2 3 , 3 4 , 4 5 , . ⁢ ⁢ . ⁢ . 1, 3, 7, 13, . . . 1, 3, 7, 13, . . . − 10 , − 20 , − 40 , − 80 , . . . − 10 , − 20 , − 40 , − 80 , . ⁢ . ⁢ . 18, 26, 34, 42, . . . 18, 26, 34, 42, . . .

Which of the following is the result of expanding the series

Suppose g(x) = f(x + 3) + 4. which statement best compares the graph of g(x) with the graph of f(x)?

For [tex]f(x) = 4x + 1[/tex] and (x) = [tex]g(x)= x^{2} -5,[/tex] find [tex](\frac{g}{f}) (x)[/tex]a. [tex]\frac{x^{2} - 5 }{4x +1 },x[/tex] ≠ [tex]-\frac{1}{4}[/tex]b. x[tex]\frac{4 x +1 }{x^{2} - 5}, x[/tex] ≠ ± [tex]\sqrt[]{5}[/tex]c. [tex]\frac{4x +1}{x^{2} -5}[/tex]d.[tex]\frac{x^{2} -5 }{4x + 1}[/tex]