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Find the value of 1+1x1! + (2 × 2!) + (3 × 3!) + … + (100 × 100!)
Read Solution (Total 3)
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- we can write
1!+1*1!+2*2!+........+100*100!
now
3*3!=3(2*2!+1*1!+1!)
similarly
sum of before 100*100! is 100*100!
hence ans=
100*100!+100*100!=200*100!
is it right?? - 11 years agoHelpfull: Yes(8) No(1)
- ans is 101!........
1*1!=2!-1!
2*2!=3!-2!
3*3!=$1-3!
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100*100!=101!-100!
1+1*1!+2*2!+3*3!.......+100*100!=
1+2!-1!+3!-2!+4!-3!+.........+101!-100!=1-1!+101!=101! - 11 years agoHelpfull: Yes(7) No(0)
- 1!+1*1!+2*2!+........+100*100!
now
3*3!=3(2*2!+1*1!+1!)
similarly
sum of before 100*100! is 100*100!
hence ans=
100*100!+100*100!=200*100!
- 10 years agoHelpfull: Yes(0) No(0)
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