How would you describe this sequence by itself? Difference x n + zero term n Combine the two 2n2 + nДЇind the nth term of a Quadratic Sequence 6Д‘1Д‘8Д’7Д“8 1st Difference 5 7 9 11 2nd Difference 2Д’Д’ The constant 4 tells us there is an n2 term (square numbers are useful here). The number in front of the n2 term is determined by dividing the constant term 4 by 2 = 2 3Д‘0Д’1Д“6Д•5 2n2 2ДД‘8Д“2Д•0 Subtract 1Д’Д“Д”Д• This final sequence is not constant but it is linear, just nвЂ™s and numbers. Khan Academy is a 501(c)(3) nonprofit organization. Our mission is to provide a free, world-class education to anyone, anywhere. The number in front of the n2 term is determined by dividing the constant term 2 by 2 = 1 4Д—Д‘2Д‘9Д’8 n2 1Д”Д™Д‘6Д’5 Subtract 3Д“Д“Д“Д“ This final sequence can be described as just 3, it doesnвЂ™t matter what n is, each term is just 3 Thus combine the two parts n2 + 3ДЇind the nth term of a Quadratic Sequence 3Д‘0Д’1Д“6Д•5 1st Difference 7 11 15 19 2nd Difference 4Д”Д” The constant 4 tells us there is an n2 term (square numbers are useful here). We'll construct arithmetic and geometric sequences to describe patterns and use those sequences to solve problems. The number in front of the n2 term is determined by dividing the constant term 2 by 2 = 1 2Д•Д‘0Д‘7Д’6 n2 1Д”Д™Д‘6Д’5 Subtract 1Д‘Д‘Д‘Д‘ This final sequence can be described as just 1, it doesnвЂ™t matter what n is, each term is just 1 Thus combine the two parts n2 + 1ДЇind the nth term of a Quadratic Sequence 4Д—Д‘2Д‘9Д’8 1st Difference 3 5 7 9 2nd Difference 2Д’Д’ The constant 2 tells us there is an n2 term (square numbers are useful here).

The number in front of the n2 term is determined by dividing the constant term 2 by 2 = 1ДЇind the nth term of a Quadratic Sequence n2 + 1 2Д•Д‘0Д‘7Д’6 1st Difference 3 5 7 9 2nd Difference 2Д’Д’ The constant 2 tells us there is an n2 term (square numbers are useful here). Quadratic Sequences Write the first five terms for the following sequences according to its nth term 1) n2 2) n2 + 1 3) n2 + n 4) 2n2 5) 2n2 + 4 6) 2n2 + 3n 7) 2n2 + 2n + 5 T1 T2 T3 T4 T5 1Д”Д™Д‘6Д’5 2Д•Д‘0Д‘7Д’6 3Д–Д‘2Д’0Д“0 2ДД‘8Д“2Д•0 6Д‘2Д’2Д“6Д•4 5Д‘4Д’7Д”4Д–5 9Д‘7Д’9Д”5Д–5ДЇind the nth term of a Quadratic Sequence n2 + 1 2Д•Д‘0Д‘7Д’6 1st Difference 3 5 7 9 2nd Difference 2Д’Д’ If there is a constant 1st difference then this would be a linear sequence (contains just nвЂ™s and numbers) If there is a constant 2nd difference then this would be a quadratic sequence (contains n2 and possibily other nвЂ™s and numbers) The constant 2 tells us there is an n2 term (square numbers are useful here).

Quadratic sequences