The sequence (ssubn) is defined as ssubn = k, and ssub(n+1) = the square root of 4ssubn - 1. For what values of k will the sequence be monotone increasing, and for what values will it be monotone decreasing? The sequence will be monotone increasing for all natural number values of k, because 4k - 1 will always be greater than 4(k+1) - 1 as k increases.