Determine the third term of a geometrical progression whose first and second term are 2 and 54 respectively
A
1458
B
1485
C
1345
D
1258
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
1st G.P. = a =2
2nd G.P. = ar\(^{2 −1}\) = 54
2(r) = 54
r = 54/2 = 27
r = 27
3rd term = ar\(^2\) = (2) (27)\(^2\)
2 \times 27 \times 27
= 1458
Source: Myschool Past Questions Archive (Record #40730)