2 2 ; ; 12; ; . . . are the first four terms of a quadratic sequence. If the second x y difference is 6, calculate the values of and (5) x y. 3. The quadratic pattern;…………..is Determine the value of (4) x. given. 4 In the quadratic sequence, the first three terms of the first differences are and. Determine the: Value(s) of. (2) Second difference(s). (1) Values of and . (2) 4.4 General term of the quadratic sequence. (4) 5 Given the quadratic sequence 3; 5; 11; 21; … 5.1 Write down the value of the next term, if the pattern continues. (1) 5.2 Determine the value of the 48th term. (5) 5.3 Prove that the terms of this sequence will never be even numbers. (2) 5.4 If all the values of this sequence are increased by 30, determine the general term of the new sequence. (2) A pattern of triangles is formed by increasing the base of the triangle by 2 cm and the 6. perpendicular height by 1cm, in each successive triangle. The first triangle has a base of 2 cm and a height of 2 cm. The pattern continues in this manner.
2 2 ; x ; 12; y ; . . . are the first four terms of a quadratic sequence. If the second difference is 6, calculate the values of x and y. (5) 3. The quadratic pattern;…………..is given. Determine the value of x. (4) 4 In the quadratic sequence, the first three terms of the first differences are and. Determine the: Value(s) of. (2) Second difference(s). (1) Values of and . (2) 4.4 General term of the quadratic sequence. (4) 5 Given the quadratic sequence 3; 5; 11; 21; … 5.1 Write down the value of the next term, if the pattern continues. (1) 5.2 Determine the value of the 48th term. (5) 5.3 Prove that the terms of this sequence will never be even numbers. (2) 5.4 If all the values of this sequence are increased by 30, determine the general term of the new sequence. (2) 6. A pattern of triangles is formed by increasing the base of the triangle by 2 cm and the perpendicular height by 1cm, in each successive triangle. The first triangle has a base of 2 cm and a height of 2 cm. The pattern continues in this manner.
gr-12-mathematics-faciliator-s-manual.docx