Find the 6th term in the geometric sequence with t3 = 150 and t5 = 3750.

Determine first the common ratio (r) of the geometric sequence by,

r = (t5 / t3) ^ (1 / (5 - 3))

Substituting the known values from the given,

r = (3750 / 150) ^ (1/2) = 5

The sixth term may be obtained by multiplying the fifth term (t5 = 3750) by the common ratio. This is shown below,

t6 = (3750) x 5 = 18750

Thus, the 6th term of the geometric sequence is 18750.