A regular eustomer visits a restaurant thrice a week. For a monthly visit, he wants to try something new every time he has a meal. Menu offers variety of items to be chosen from. He devised a formula to calculate the menu number of next meal which is given by n° (n + 1)² / 4. What would be his last meal of the month? Another way to calculate the menu number is 1' + 2° + 33+ ... + n'. Can you validate both methods for choice of menu?

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A: Explained below

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