Observe the following pattern and find the missing digits.

11² = 121

101² = 10201

1001² = 1002001

100001² = 1…2…1

10000001² = …

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Solution

In the given pattern, it can be observed that the squares of the given numbers have the same number of zeroes before and after the digit 2 as it was in the original number. Therefore,

100001² = 10000200001

10000001² = 100000020000001

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Similar questions

Question 4
Observe the following pattern and find the missing digits.

$11^{2} = 121 101^{2} = 10201 1001^{2} = 1002001 100001^{2} = 1....2....1 10000002^{2} = 1...........$

11^{2} = 121

101^{2} = 10201

1001^{2} = 1002001

100001^{2} = 10000200001

10000001^{2} = . . . . . . . . . . .

Question 5
Observe the following pattern and supply the missing numbers.

$11^{2} = 121 101^{2} = 10201 10101^{2} = 102030201 1010101^{2} = . . . . . . . . . . . . . . . . . . . . . . . . . .^{2} = 10203040504030201$

Question 5
Observe the following pattern and supply the missing numbers.

$11^{2} = 121 101^{2} = 10201 10101^{2} = 102030201 1010101^{2} = . . . . . . . . . . . . . . . . . . . . . . . . . .^{2} = 10203040504030201$

Question 4
Observe the following pattern and find the missing digits.

$11^{2} = 121 101^{2} = 10201 1001^{2} = 1002001 100001^{2} = 1....2....1 10000002^{2} = 1...........$

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