Question

Observe the following pattern and find the missing digits.
${11}^2=121$
${101}^2=10201$
${1001}^2=1002001$
${100001}^2=10000200001$
${10000001}^2=...........$

Answer 1

From the pattern,
${11}^2=121$
${101}^2=10201$
${1001}^2=1002001$
If a zero is added on the left side, two zeros are added on the right side, one before digit 2 and other after the digit 2.
Hence, ${10000001}^2=100000020000001$