Number Sequence 3

Number Theory Level 1

Complete this sequence:

                                1, 4, 9, 16, 25, 36, 49, 64, 81, 100, _.

2 solutions

Goh Choon Aik
Jan 18, 2019

The lesser known equation to derive this sequence is: For number $A_n$ in the sequence: $A_n = A_{n-1} + 2n + 1$

due to the expansion of

$(x + 1)^2 = x^2 + 2x + 1$

Mr Cyan
Jan 14, 2019

This problem works like this. 1^{2}, 2^{2}, 3^{2}, and so on. The sequence squares the numbers 1-10, and you just have to figure out 11.