passpadi

2015

Mathematics

JAMB

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: 1458

Explanation

1st G.P. = a =2 2nd G.P. = ar2-1 = 54 2(r) = 54 r = 54/2 = 27 r = 27 3rd term = ar2 = (2) (27)2 2 × 27 × 27 = 1458

1st G.P. = a =2 2nd G.P. = ar2-1 = 54 2(r) = 54 r = 54/2 = 27 r = 27 3rd term = ar2 = (2) (27)2 2 × 27 × 27 = 1458
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