Define
Tn=k=1∑n(4k+1)−k=1∑n(2k−3).
Work through the following tasks.
a. (i) Simplify Tn so that it is expressed solely in terms of n without any summation signs.
b. (ii) Show that Tn can be written in the form an2+bn+c, where a,b,c are constants to be determined.
c. (iii) Using your result from part (ii), compute T15. Give the final answer as an integer.