The set of all APs forms a two-dimensional space.] 22 Let A (a, d) represent the AP whose first term is a and difference is d a The sum of two sequences T, and U, is defined to be the sequence whose...

QUESTION IS ATTACHED

(PLEASE DO PART B ONLY I HAVE COMPLETED PART A ?)

Extracted text: The set of all APs forms a two-dimensional space.] 22 Let A (a, d) represent the AP whose first term is a and difference is d a The sum of two sequences T, and U, is defined to be the sequence whose nth term is T, + U,. п Show that for all constants A and , and for all values of a 1, a2, di and d2, the sequence 2A (a1,d1 HA (a2, d2) is an AP, and find its first term and common difference b Write out the sequences A (1, 0) and A (0, 1). Show that any AP A (a, d) with first term a and difference d can be written in the form A A (1,0) A (0, 1), and find A and u