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Observe the following pattern and find t...

Observe the following pattern and find the missing digits.
`11^2=121`
`101^2=10201`
`1001^2=1002001`
`100001^2=1.....2......1`
`10000001^2=..............`

Text Solution

Verified by Experts

From the given pattern we
see that the square of the
given number has the same number of zeros
before and after digit 2 as it is present in the original number.
`11^2 =121`
`101^2 = 10201`
`1001^2=1002001`
`100001^2=10000200001`
`10000001^2=100000020000001`
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