Find factorial using Recursion 1. Find factorial using Loop # Code to find factorial on num# numbernum=4# 'fact' - variable to store factorialfact=1# run loop from 1 to num# multiply the numbers from 1 to num# and, assign it to fact variableforiinrange(1,num +1): fact=fact * ...
Notice that thus far, of course, I’ve made no use the fact that I’m constantly recalculating the intemediate values from 1 to n. If those values were cached, of course, I could save myself a lot of computations. One way to do this is to use recursion, but if we’ve already ca...
Let the sequence \{ a_n \}_{n \in N} defined by the recursion a_{n-1} = \sqrt{2 + a_n} with a_1 = 1 . Show by induction that \{ a_n \}_{n \in N} is an increasing sequence. Show by induc Let a_1 =...