What is the 8th term in the following sequence?
27,39,51,63…
A. 90
B. 99
C. 111
D. 126
The sequence has a common difference of 12 between each term (39-27=12, 51-39=12, 63-51=12, etc.). To find the 8th term in the sequence, add the common difference to the last term 5 times:
63 (4th term) + 12 = 75 (5th term)
75 + 12 = 87 (6th term)
87 + 12 = 99 (7th term)
99 + 12 = 111 (8th term)
The 8th term in the sequence is 111, so the answer is C. 111.