Stewart's Sequences 1 of 5

Number Theory Level 1

A pie factory is booming in business.

On the first day of opening they baked only \(2\frac { 1 }{ 3 }\) pies,

On Day 2 they baked \(4\frac { 2 }{ 3 }\) pies!

On Day 3 they made \(7\) pies!


On Day \(n\) they made \(x\) pies!

Assuming that nothing restricts their pie baking skills, this sequence continues each day and that they can bake up to \(\infty\) pies per day, find the sum of \(x\) when \(n=30\) and \(n=60\).


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