Aarav notices that 1, 4, 9, 16, 25 ... is the list of squares. He sees the gaps between them are 3, 5, 7, 9 ... What is the gap between the 10th and 11th perfect squares (i.e. 11^2 - 10^2)?

Question

Accepted Answer

21. (n+1)^2 - n^2 = 2n + 1. For n = 10, the gap = 2 x 10 + 1 = 21. (121 - 100 = 21.)

Aarav notices that 1, 4, 9, 16, 25 ... is the list of squares.
He sees the gaps between them are 3, 5, 7, 9 ...
What is the gap between the 10th and 11th perfect squares (i.e. $1 1^{2} - 1 0^{2}$ )?

Step-by-Step Solution

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More Class 8 Properties of Square Numbers practice

Aarav notices that 1, 4, 9, 16, 25 ... is the list of squares.He sees the gaps between them are 3, 5, 7, 9 ...What is the gap between the 10th and 11th perfect squares (i.e. 112−102)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Properties of Square Numbers practice

Aarav notices that 1, 4, 9, 16, 25 ... is the list of squares.
He sees the gaps between them are 3, 5, 7, 9 ...
What is the gap between the 10th and 11th perfect squares (i.e. $1 1^{2} - 1 0^{2}$ )?