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Question
The sum 1×1!+2×2!+.....+50×50! equals
The sum 1×1!+2×2!+.....+50×50! equals
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Solution
The correct option is D 51!−1
1×1!+2×2!+.....+50×50!
=(2−1)1!+(3−1)2!+(4−1)3!+....+(51−1)50!
=(2!−1!)+(3!−2!)+(4!−3!)+.....(51!−50!)
=51!−1!=51!−1
1×1!+2×2!+.....+50×50!
=(2−1)1!+(3−1)2!+(4−1)3!+....+(51−1)50!
=(2!−1!)+(3!−2!)+(4!−3!)+.....(51!−50!)
=51!−1!=51!−1
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