Question 201924
The general form of ANY geometric sequence is {{{a[n]=a*r^(n-1)}}} where "n" starts at 1 (the formula is slightly different if you start at different "n" values)




{{{a[n]=a*r^(n-1)}}} Start with the given equation.



{{{a[n]=-3*(-4)^(n-1)}}} Plug in {{{a=-3}}} and {{{r=-4}}} (these values are given)



{{{a[7]=-3*(-4)^(7-1)}}} Plug in {{{n=7}}} (for the 7th term)



{{{a[7]=-3*(-4)^6}}} Subtract



{{{a[7]=-3*4096}}} Raise -4 to the 6th power to get 4,096



{{{a[7]=-12288}}} Multiply




So the 7th term is -12,288 which means that the answer is D)