Find the general term of the following sequence: 6, 24, 60, 120, 210, 336, 504, ...
Please show your work too. Thank you!​

The general term is (n)(n+1)(n+2).

Step-by-step explanation:

Term 1 = 6 = (1)(2)(3)

Term 2 = 24 = (2)(3)(4)

Term 3 = 60 = (3)(4)(5)

Term 4 = 120 = (4)(5)(6)

Term 5 = 210 = (5)(6)(7)

Term 6 = 336 = (6)(7)(8)

Term 7 = 504 = (7)(8)(9)

So, term n = (n)(n+1)(n+2).

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.