Find the \(n^{th}\) term of the sequence 2 x 3, 4 x 6, 8 x 9, 16 x 12...
A
2\(^n\) x 3(n + 1)
B
2\(^n\) x 3n
C
2\(^n\) x 3\(^n\)
D
2\(^n\) x 3\(^n - 1\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
2 x 3, 4 x 6, 8 x 9, 16 x 12,...
2\(^1\) x 3 x 1, 2\(^2\) x 3 x 2, 2\(^3\) x 3 x 3, 2\(^4\) x 3 x 4,.... 2\(^n\) x 3n
Source: Myschool Past Questions Archive (Record #49398)