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Help me answer the question in the image!

Help me answer the question in the image!-example-1
User Arielcr
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1 Answer

9 votes

Answer:

29107

Explanation:

Every next 'level', a ring of balls is added.

The ring has 6 sides of n balls, but you would then count all 6 corners double, so you have to subtract 6.

So Bₙ = Bₙ₋₁ + 6n - 6

This gives you a sequence of 1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, ...

All the way up to 29107 at 100 balls.

User Valentasm
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