Bob's Trophies
In 2004, Bob Yang won 1 trophy.
In 2005, Bob Yang won 2 trophies.
In 2006, Bob Yang won 4 trophies.
In 2007, Bob Yang won 7 trophies.
In 2008, Bob Yang won 11 trophies.
In 2009, Bob Yang won 16 trophies.
In 2010, Bob Yang won 22 trophies.
In 2011, Bob Yang won 29 trophies.
In 2012, Bob Yang won 37 trophies.
In 2013, Bob Yang won 46 trophies.
Predict how many trophies Bob wins in 2014.
The answer is 56.
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2004 (year: 1) => x = 1
2005 (year: 2) => x + ( y e a r − 1 ) = 2
2006 (year: 3) => x + ( y e a r − 1 ) = 4
2007 (year: 4) => x + ( y e a r − 1 ) = 7
. . .
2013 (year: 10) => x + ( y e a r − 1 ) = 4 6
2014 (year: 11) => x + ( y e a r − 1 ) = 4 6 + ( 1 1 − 1 ) = 4 6 + 1 0 = 5 6