Question

Determine the 12th term in the following geometric sequence

7, 14, 28, 56, 112...
d
14,336
28,672
7,168
29

Answer 1

14336

Explanation:

the general term is:

s(n) = 7*(2)^(n-1)

you can check it by plugging in some number:

s(3) = 7*2^(3-1) = 7*4 = 28

s(4) = 7*2^(4-1) = 7*8 = 56

The 12th term is:

s(12) = 7*2^(12-1) = 7*2^11 = 7*2048 = 14336