Answer:
T5 = 512
Step-by-step explanation:
Given the sequence
2,8, 32, 128,...
The sequence is a geometric progression
nth term of a geometric progression is expressed as:
Tn = ar^n-1
a is the first term = 2
n is the number of terms = 5 (next term is the 5th term)
r is the common ratio = 8/2 = 32/8 = 4
Substitute and get the fifth term
T5 = 2(4)^5-1
T5 = 2(4)^4
T5 = 2*256
T5 = 512
Hence the next term is 512
