Answer:
-384
Explanation:
geometric sequence : every new element is generated by multiplying the previous element always with the same number r.
a(n) = a(n-1) * r
a(n) = a(1) * r^(n-1)
so, a(1) = 3, r = -2
a(8) = ?
a(8) = a(1) * r^7 = 3 * (-2)^7
a negative number to an uneven power is again a negative number.
so, (-2)^7 = -128
3 * -128 = -384 = a(8)