Question

what is this property tell in detail.plzzzzzz

Answer 1

Answer:

Step-by-step explanation:

This is basically to find the number of terms between 2 square natural numbers. If we consider 7² = (n+1)² and 6 = n²

(n+1)² = n² + 1 + 2n

now subtracting the two we get

(n+1)² - n² = n² + 1 +2n - n² = 2n + 1

We can think it as

7² = 49

6² = 36

49 - 36 = 13

Now put n = 6 in the formula 2n+1

2(6) + 1 = 13

which verifies the formula and 13 numbers are between 7² and 6²