Question 162
Joah has a very long liquorice lace. He keeps taking bites out of the lace (but not from the very beginning or end of the lace), each time eating $2$ cm of the liquorice, creating two smaller pieces in the process. He repeats this several times. At the end, he is left with pieces of liquorice lace of $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, and $10$ cm.
How long (in cm) was his liquorice lace originally?
A) $55$
B) $66$
C) $73$
D) $75$
E) $81$
How long (in cm) was his liquorice lace originally?
A) $55$
B) $66$
C) $73$
D) $75$
E) $81$