Find the GGF of 20x - 4

Answer 1

To find the Generating Function (GF) of the sequence 20x - 4, we need to calculate the sum of the terms of the sequence multiplied by x^n, where n represents the position of the term in the sequence.

The sequence 20x - 4 can be written as:

(20x - 4) = -4 + 20x

Now, let's calculate the GF.

GF = -4x^0 + 20x^1 + 0x^2 + 0x^3 + ...

Since there are no terms with x raised to a power greater than 1, the GF can be written as:

GF = -4x^0 + 20x^1

Simplifying further:

GF = -4 + 20x

Therefore, the Generating Function (GF) of 20x - 4 is -4 + 20x.