Question

Is there any perfect square terms in the sequence 8,13,18..? Justify.

Answer 1

NO! there is not a single perfect square term in the sequence 8,13,18....

As we all know that the unit digits of the square of the numbers from 1 to 10

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

unit digit of the square of the numbers is {0, 1, 4, 9, 6, 5,}

In the given sequence we have the unit digit of the number as 3 and 8

so, none of the numbers is a perfect square