Consider the infinite sequence an=1,2,6,24,120... What function defines this sequence recursively?

As the sequence progresses it multiplies by the next number so

1 times 2 = 2

2 times 3= 6

6 times 4= 24

24 times 5= 120

and if you wanted to continue forward

120 times 6= 720

take this how you would like and rewrite it in your own words.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

{3 + i, 3 - i, 3, -1}

step-by-step explanation: