### Brain Teasers

# 1, 3, 9, 33, 153, 873, 5913, ?

Which number comes next in this sequence?

1, 3, 9, 33, 153, 873, 5913, ?

1, 3, 9, 33, 153, 873, 5913, ?

### Answer

46233.1=1!, 3=1!+2!, 9=1!+2!+3!, and so on.

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## Comments

tricky but cool

hey i'm the first one!

hey i'm the first one!

Right answer but slightly different method. Starting from the third in the series, I came up with the difference between the last two numbers mulitplied by n, plus the last number.

so the third factor was (3-1)*3+3, 4th was (9-3)*4+9, etc. It works, even though it is messy.

so the third factor was (3-1)*3+3, 4th was (9-3)*4+9, etc. It works, even though it is messy.

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