Answer:
a₆ = 1024
Step-by-step explanation:
There is a common ratio (r) between consecutive terms , that is
r = \(\frac{4}{-1}\) = \(\frac{-16}{4}\) = \(\frac{64}{-16}\) = - 4
This indicates the sequence is geometric
To find any term in a geometric sequence, multiply the preceding term by r
given the first 4 terms
- 1, 4 , - 16 , 64 , then
fifth term a₅ = a₄ × - 4 = 64 × - 4 = - 256
sixth term a₆ = a₅ × - 4 = - 256 × - 4 = 1024