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Question
Rob the robot came across a sequence of numbers while studying maths. Whatever logic he tried, he could not find the number that would come next in the sequence. Can you help him out?
Rob the robot came across a sequence of numbers while studying maths. Whatever logic he tried, he could not find the number that would come next in the sequence. Can you help him out?
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Solution
The correct option is A 6
The numbers are the digits in the ones places of the squares of successive natural numbers.
Number
1
2
3
4
5
Square
1
4
9
16
25
Ones digit
of the square
1
4
9
6
5
Hence, the next number in the sequence will be the ones digit of the next perfect square.
Next perfect square=62=36
⟹Ones digit of the square=6
Therefore, the next number in the sequence is 6.
The numbers are the digits in the ones places of the squares of successive natural numbers.
| Number | 1 | 2 | 3 | 4 | 5 |
| Square | 1 | 4 | 9 | 16 | 25 |
| Ones digit of the square |
1 | 4 | 9 | 6 | 5 |
Hence, the next number in the sequence will be the ones digit of the next perfect square.
Next perfect square=62=36
⟹Ones digit of the square=6
Therefore, the next number in the sequence is 6.
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