Answer:
Step 1, let's find the common difference by subtracting the first term from the second term, subtracting the second term from the third term and also the third term from the forth term '
T2 - T1= 12-6 = 6
T3 - T2 = 18 - 12 = 6
T4 - T3 = 24 - 18 = 6
So we do have a common difference which is 6
and therefore we can formulate the general term of the pattern :
Tn = a + (n + 1)d, where a is the first term, d is the common difference
Tn = 6 + ( n + 1) 6
Tn = 6 + 6n + 6
Tn = 6n + 12
For 65th term, we are going to substitute 65 in the position of n in the general term :
T65 = 6(65) + 12
T65 = 390 + 12
T65 = 402