Question 697063

Find an equation for the nth term of a geometric sequence where the second and fifth terms are -21 and 567, respectively.


r = {{{- 3}}}


{{{a[1] = (- 21)/r }}}


{{{a[1] = (- 21)/- 3}}}, or 7 ----- Substituting – 3 for r


Therefore, equation for the nth term = {{{highlight_green(a[n] = a[1](- 3)^(n - 1))}}}, or {{{highlight_green(a[n] = 7(- 3)^(n - 1))}}}