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Question Number 10290 by konen last updated on 02/Feb/17

$$3\times 3!+4\times 4!+...+12\times 12!=?$$

Answered by ridwan balatif last updated on 02/Feb/17

$$3\times 3!+4\times 4!+...+12\times 12!$$$$(4-1)\times 3!+(5-1)\times 4!+(6-1)\times 5!+...+(13-1)\times 12!$$$$4\times 3!-1\times 3!+5\times 4!-1\times 4!+6\times 5!-1\times 5!+...+13\times 12!-1\times 12!$$$$4!-3!+5!-4!+6!-5!+...+13!-12!$$$$-3!+13!$$$$13!-3!$$

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