soln,
from the series,
a = 2
t2 = -6
r = t2/a
[tex] = \frac{ - 6}{2} [/tex]
= -3
therefore, tn =
[tex] {ar}^{n - 1} [/tex]
[tex] = {2 \times - 3}^{n - 1} [/tex]
now,
seventh term =
[tex] {2 \times - 3}^{7 - 1} [/tex]
[tex] = {2 \times - 3}^{6} [/tex]
[tex] = 2 \times 729[/tex]
[tex] = 1458[/tex]
