I1.3 Given that $1,3,5,7, \ldots, \beta$ and $1,6,11,16, \ldots, \beta+1$ are two finite sequences of positive integers. Determine $\gamma$, the numbers of positive integers common to both sequences.
The two finite sequences are: $1,3,5,7, \ldots, 55$ and $1,6,11,16, \ldots, 56$. The terms common to both sequences are $1,11,21,31,41,51$. $\gamma=6$