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Question 9
The missing numbers in the below series would be
1 : 1, 8 : 4, 9 : 27, 64 : 16, 25 : 125, ? : ?, 49 : 343
Solution
1st term - 1^2:1^3
2nd term - 2^3:2^2
3rd term - 3^2:3^3 ...and so on.
The missing term is 6^3:6^2
Alternate:
Let us assume n is the nth term of the series-
When n is odd, the term is $$n^2:n^3$$
When n is even, the term is $$n^3:n^2$$
For n = 1,
1:1
For n = 2,
8:4
For n = 3,
9:27
For n = 4
64:16
Similarly, for n = 6
216:36
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