What is the average of all positive integers that have four digits when written in base 3, but two digits when written in base 5? Write your answer in base 10.
+36916 largesr base 5 44 5 = 24 in base 10
smallest base 5 01 = 1 Does Q allow leading zeroes? I assumed it did
sum of first 24 numbers = 24/2 (1+24)
24/2(1+24) /24=12.5 avg
If no leading zeroes are allowed in the base 5 numbers then 10 - 445 is 5 - 24 in base 10
290/ 20 = 14.5 avg
