How do you find the nth term rule for #-3,12,-48,192,...#?

1 Answer
Aug 26, 2016

Answer:

#t_n=3/4(-4)^n#.

Explanation:

Let us denote, by #t_n#, the #n^(th)# term of the seq.

We find that, #t_2/t_1=-4, t_3/t_2=-4, t_4/t_3=-4,...#

We conclude that the given seq. is a Geometric Seq., with,

#t_1=-3, "&, common ratio r=-4"#

The Formula for the General Term #t_n# for a Geo. Seq. is,

#t_n=t_1*r^(n-1)=-3*(-4)^(n-1)=3/4(-4)^n#.

Enjoy Maths.!