passpadi

2003

Mathematics

67ca00ce0c643c71d77dee1f

Three consecutive terms of a geometric progression are given as n-2, n and n+3. Find the common ratio

A.

1/4

B.

1/2

C.

2/3

D.

3/2

Correct Answer: 3/2

Explanation

r = n/n−2 and r= n+3/n ∴n/n−2= n+3/n n2 = n2 + 3n − 2n − 6. 0 = n−6. ∴ n = 6. But r = n/n−2. r = 6/6−2.6/4 = 3/2

r = n/n−2 and r= n+3/n ∴n/n−2= n+3/n n2 = n2 + 3n − 2n − 6. 0 = n−6. ∴ n = 6. But r = n/n−2. r = 6/6−2.6/4 = 3/2
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