Question 4

Given the quadratic pattern: -12; -8;0;12;…

4.1 Determine the next two terms of the pattern. (2)

4.2 Determine T_n , the general term of the pattern, in the form T_n = an² + bn + c. (4)

4.3 Between which two consecutive terms does the first difference of 192 lie? (3)

4.4 A new pattern, P_n , is formed. It is given that 168 P_n = T_n – 168 , determine the number of negative terms in the new pattern. (5)

4.5 Show that T_n is always an even number. (2)

[16]