Question

Find the pattern and use it to list the next two terms in the sequence.

3, -6, 18, -72, 360, -2,160,___,___.

Answer 1

Hello,


`u_(1) =3=3*1=3*1!*(-1)^(1-1)\\\\ u_(2) =-6=3*(-2)=3*2!*(-1)^(2-1)\\ u_(3) =18=3*3!*(-1)^(3-1)\\ u_(4) =-72=3*4!*(-1)^(4-1)\\ u_(5) =360=3*5!*(-1)^(5-1)\\ u_(6) =-2160=3*6!*(-1)^(6-1)\\ u_(7) =15120=3*7!*(-1)^(7-1)\\ u_(8) =-120960=3*8!*(-1)^(8-1)\\\\ \boxed{ u_(n) =3*n!*(-1)^(n-1)}\\`