Question

Generating function of 0,1,-2,4,-8,...

Answer 1

Answer:

1,0,2,0,3,0,4,1,-2,3,-4,5,-6,0,3,6,9,12,15,18..etc...

Step-by-step explanation:

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Answer 2

The generating function of 0, 1, -2, 4, -8 . . . is 0 + 1x - 2x² + 4x³ - 8x⁴ . . .

• A generating function in arithmetic is a way of encoding a countless series of integers (an) through thinking about them because of the coefficients of a formalized strength feature. This collection is called the series' producing feature.
• Sequences are represented through producing features through coding the phrases of a chain as coefficients of powers of a variable in a proper strength collection.
• We'd need an accepted technique for figuring out the associated series given an express practical shape for a producing feature.
• This is stated as "expanding" the producing feature because we're taking it from a compact practical shape to a limitless set of phrases.