The 6th term of a G.P is -2 and its first term is 18. What is the common ratio?
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Correct Answer: Option B
Explanation:
a, ar, ar2, ar3, ar4, ar5
6th term = ar5 = 2/27
1st term = a = 18
=> ar5 = 18r5 = 2/27r5 =
-2/18 x 27
=
-1/9 x 27
r5 =
-1/243
√r5 = 5√-1/243
= -1/3
a, ar, ar2, ar3, ar4, ar5
6th term = ar5 = 2/27
1st term = a = 18
=> ar5 = 18r5 = 2/27r5 =
-2/18 x 27
=
-1/9 x 27
r5 =
-1/243
√r5 = 5√-1/243
= -1/3