Problem 1: Italian mathematician Fibonacci is famous for introducing the Fibonacci series' to modern mathematics. Any term in the Fibonacci series is the sum of the previous two terms. For example, the first 5 terms of the series are 1, 1,2,3,5 Use for loop to perform the following exercises. (a) Compute the first 40 terms of the series and put the answer in vector pla. (b) Use for loop to compute the sum of all terms in the series in part (a). Put the answer in plb. (c) Find the ratio of two consecutive terms in the series in part (a) and put the answer in vector plc. Hint: set plc(1) = 0, plc(2)=pla(2)/pla(1) and so on