Answer:
512
Step-by-step explanation:
In a geometric sequence, the ratio between the second term and the first term is equal to the ratio between the third term and the second term.
(m² + 4) / m = 16m / (m² + 4)
Solve:
(m² + 4)² = 16m²
m² + 4 = 4m
m² − 4m + 4 = 0
(m − 2)² = 0
m = 2
The first three terms of the geometric sequence are therefore 2, 8, 32.
The common ratio is 4, and the first term is 2. So the 5th term is:
a = 2 (4)⁵⁻¹
a = 512
