passpadi

2020

Mathematics

67ca00ce0c643c71d77dee1f

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

A.

3/2

B.

2/3

C.

1/2

D.

1/4

Correct Answer: 3/2

Explanation

h/(n − 2) = (n + 3)/n n2 = (n + 3) (n - 2) n2 = n2 + n - 6 n22 + n - 6 - n2 = 0 n - 6 = 0 n = 6 Common ratio: n/(n−2) = 6/(6 −2) = 6/4 = 3/2

h/(n − 2) = (n + 3)/n n2 = (n + 3) (n - 2) n2 = n2 + n - 6 n22 + n - 6 - n2 = 0 n - 6 = 0 n = 6 Common ratio: n/(n−2) = 6/(6 −2) = 6/4 = 3/2
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