Home » Determine the third term of a geometrical progression whose first and second term are 2…

Determine the third term of a geometrical progression whose first and second term are 2…

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.

Explanation Video