1. Given the arithmetic sequence: 3, 5,7,9, a. Write a python recursive function that will return the nth term in the sequence. Write code that includes a for loop which will invoke the function and then print the first 6 terms (eg, for each term "Term #1-5*) and the sum of those six terms b. Construct the trace of the function showing memory and output, including return values produced at each step of the function. Use the trace models in your textbook and practice problems to guide you. c. Modify your function so that it becomes a function that will run an infinite number of times. Submit screen shots of the modified function and the first page of output. 2. Trace each of the following Python functions and associated calls. Following the trace examples in your text, keep track of the memory and output. def nonsensicol (nm): print (Nnu) nonsensical Coue 1) print CAfter the recursive coll') else print?this is the base cose one Num is: ". nu) nonsensicol(4) a. def silly(value) : r value1 print ("done) return -5 else print ('not done") return -3 sitly (value 2) print ("start, "final:silly (4) b