A number series is given with four terms missing. Choose the correct alternative that will continue the same pattern.
1, 1, 4, ____, ____, 27, 16, ____, 25, 125, ____
A. 36
B. 64
C. 8
D. 9
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → C, D, B, A
The series is made of pairs: the square of a number, then its cube, for 1, 2, 3, 4, 5, 6 in turn.
1: \(1^{2}=1\), \(1^{3}=1\)
2: \(2^{2}=4\), \(2^{3}=\) 8 (C)
3: \(3^{2}=\) 9 (D), \(3^{3}=27\)
4: \(4^{2}=16\), \(4^{3}=\) 64 (B)
5: \(5^{2}=25\), \(5^{3}=125\)
6: \(6^{2}=\) 36 (A)
The completed series is 1, 1, 4, 8, 9, 27, 16, 64, 25, 125, 36.