▶Brainly Teaser ⬆⬆⬆◀
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ty009:
Amazing ! how you create these Q.s?
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Answered by
7
Hey!! ☺
Here is your answer
_______________________
If we see properly,
The first picture shows 5 squares, the 4 smaller ones, along with the 2×2 square.
Counting 1×1, 2×2, and 3×3 squares, the second picture shows 14 squares.
With this reasoning, a 4×4 grid would equal 30.
In general, an n × n grid would equal
![{1}^{2} + {2}^{2} + ... + {n}^{2} = \frac{n(n + 1)(2n + 1)}{6} {1}^{2} + {2}^{2} + ... + {n}^{2} = \frac{n(n + 1)(2n + 1)}{6}](https://tex.z-dn.net/?f=+%7B1%7D%5E%7B2%7D+%2B+%7B2%7D%5E%7B2%7D+%2B+...+%2B+%7Bn%7D%5E%7B2%7D+%3D+%5Cfrac%7Bn%28n+%2B+1%29%282n+%2B+1%29%7D%7B6%7D+)
These are the square pyramidal numbers, because they are the number of cubes needed to build a pyramid with a square base n levels high.
_______________________
Thanks!! ✌
Here is your answer
_______________________
If we see properly,
The first picture shows 5 squares, the 4 smaller ones, along with the 2×2 square.
Counting 1×1, 2×2, and 3×3 squares, the second picture shows 14 squares.
With this reasoning, a 4×4 grid would equal 30.
In general, an n × n grid would equal
These are the square pyramidal numbers, because they are the number of cubes needed to build a pyramid with a square base n levels high.
_______________________
Thanks!! ✌
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Answered by
6
The answer is provided in the attachment.
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![](https://hi-static.z-dn.net/files/d2c/d652e8eba3fd9c8ee07b1a7b518c00ca.jpg)
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