I need solution

Question 1 (5 points) a) Luisa works for the Ferrero Group company and already has been working there since January 1, 2014. Every staff member in this company receives 300 hours of leave at the beginning of each year. Of the hours of leave not taken in one year, there is a general arrangement that any employee can transfer 40% of these hours to the following year. Every year, Luisa takes up 210 hours of leave. Let /,, be the number of hours of leave that Luisa has at the beginning of the n-th year since 2014. i. Write down a recursive equation with initial condition for the number of hours of leave I, at the start of the year 2014 +n. i. Determine the number of hours of leave of Luisa at the beginning of the year 2020. To this end, use the general term of the sequence ,, . fii. How many hours of leave will Luisa have in the long run under these circumstances? iv. How many hours of leave should Luisa have taken up every year if she would like to have 380 hours of leave at the beginning of the year 2020? Round the final result to the unit. b) Find the value of the constant & in the given sum below such that the final result of the sum is equal to 97536. You are allowed the use of your graphical calculator to solve an algebraic equation. 384k +192k + 96k + ...+ 6k indo