WAEC Mathematics

The first term of a Geometric Progression(G.P) is 3 and the fifth term is 48. Find the common ratio

a.

2

b.

4

c.

8

d.

16

Correct answer: A

The nth term of a geometric progression is a×rn1a×r^{n-1}. You are told that the first term a=a1a = a_1 is 3 and the fifth term a5a_5 of the geometric sequence is 4848. This means that 3×r4=48,r4=163×r^4 = 48, r^4=16 and the common ratio r=2r = 2.

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