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Observe the following pattern and find the missing numbers. 11^2 = 121 101^2 = 10201 1001^2 = 1002001 100001^2 = 1 .......2.........1 1 0000001^2 = ..........................

Observe the following pattern and find the missing numbers.
11^2 = 121
101^2 = 10201
1001^2 = 1002001
100001^2 = 1 .......2.........1 1
0000001^2 = .......................... 

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
8 months ago
Dear Student

We observe that the square on the number on R.H.S of the equality has an odd number of digits such that the first and last digits both are 1 and middle digit is 2. And the number of zeros between left most digits 1 and the middle digit 2 and right most digit 1 and the middle digit 2 is same as the number of zeros in the given number.
∴ 100001^2= 10000200001
10000001^2= 100000020000001

Thanks

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