<p>Yeah the cycle way is good. If you’re confused by the 400th power, make the problem simpler - what if the 400 were a 4? Then 2^4 = 16, and the last digit is 6. Adding the extra 0’s to the 4 doesn’t change the problem.</p>
<p>For the median one: n+10 describes the sequence. Then the first term is 11 and the 101st is 111. To get the median, there must be an equal number of numbers of both sides of it. It’s not too hard to figure out that there must be 50 on both sides (111-11 = 100, divide by 2 = 50). Then 11+50 = 61 or 111-50=61. This answer makes sense as the median of a list with an odd number of numbers is a whole number.</p>