Question

Using the given pattern, find the missing numbers.

1² + 2² + 2² = 3²

2² + 3² + 6² = 7²

3² + 4² + 12² = 13²

4² + 5² + _ ² = 21²

5² + _ ² + 30² = 31²

6² + 7² + _ ² = __²

To find pattern: Third number is related to first and second number. How? Fourth number is related to third number. How?

Answer 1

From the given pattern, it can be observed that,

1. The third number is the product of the first two numbers.
2. The fourth number can be obtained by adding 1 to the third number.

Thus, the missing numbers in the pattern will be as follows:

4² + 5² + 20² = 21²

5² + 6² + 30² = 31²

6² + 7² + 42² = 43²