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
Correct Answer: Option A
Explanation
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 × 27 × 27
= 1458
There is an explanation video available below.