Define #N by the formula #N=.5(N)+1. Calculate
#(#(#50)).
#50=26
#(26)=14
#(14)=8
To calculate #(#(#50)), we need to substitute the value of 50 into the formula recursively.
Let's start with the innermost parentheses, #50. We substitute 50 into the formula #N = 0.5(N) + 1:
#50 = 0.5(50) + 1
= 25 + 1
= 26
Now we have #26. Again, we substitute 26 into the formula:
#26 = 0.5(26) + 1
= 13 + 1
= 14
Finally, we have #14. Substituting again:
#14 = 0.5(14) + 1
= 7 + 1
= 8
Therefore, #(#(#50)) is equal to 8.