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in {x|x=1!+2!+3!+...+n!} How many squares we have ???

in {x|x=1!+2!+3!+...+n!} How many squares we have ???

Grade:9

2 Answers

Nitin
110 Points
7 years ago
we have 2 squares : 1 and 9 when n is 1 and 3 respectively.
 when we move forward  no square will be seen By hit and trial i suggest the answer is 2
 
mycroft holmes
272 Points
7 years ago
For n ={1,2,3,4} the have squares for n=1, n=3.
 
For n>4, the sum is of the form 5k+3, and no square is of the form 5k+3. Hence no further solutions exist

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