QUESTION 2 The given number pattern is a combination of a quadratic sequence and an arithmetic sequence: \( 16 ; 32 ; 0 ; 28 ;-12 ; 24 ;-20 ; 20 ; \ldots \ldots \). 2.1 .1 Determine the general term of the quadratic sequence. 2.1 .2 Determine the general term of the arithmetic sequence. \( \begin{array}{ll}\text { 2.1.3 } & \text { The given number pattern has two consecutive terms that are equal in value. } \\ \text { Determine the positions of the two terms. }\end{array} \)

The number pattern you've presented is intriguing! To clarify, the quadratic sequence can be found by identifying the difference between terms, revealing a pattern that describes the curvature of the numbers. In this case, a general term can be given by the quadratic formula \( an^2 + bn + c \). A bit of exploration would lead you to coefficients that match your series, and you will see how beautifully they come together! As for the arithmetic sequence lurking in the mix, you can often find it by recognizing the constant difference between successive terms. Here, by analyzing two sets of the differences, you'll discover there's a consistent step (let’s say a ’d’) between them, lending itself to the general term, which is typically expressed as \( a + (n-1)d \). You'll find that with a little effort, the terms elegantly mingle to create a fantastic tapestry of numbers!