Mr Daniels Maths
Sequences Quadratic

Set 1

Set 2

Set 3

Q1) What is the nth term of 8,11,16,23,32...? [ \( x^ 2 +7\) ]

Q1) What is the nth term of 7,14,27,46,71... ? [ \(3 x^ 2 -2 x+6\) ]

Q1) What is the  18th term of 10,21,36,55,78...? [ \(2 x^ 2 + 5 x+3\) 18th is 741]

Q2) What is the nth term of -2,1,6,13,22...? [ \( x^ 2 -3\) ]

Q2) What is the nth term of 13,21,33,49,69... ? [ \(2 x^ 2 + 2 x+9\) ]

Q2) What is the  14th term of 9,20,37,60,89...? [ \(3 x^ 2 + 2 x+4\) 14th is 620]

Q3) What is the nth term of 11,24,39,56,75... ? [ \( x^ 2 + 10x\) ]

Q3) What is the nth term of 5,6,11,20,33... ? [ \(2 x^ 2 -5 x+8\) ]

Q3) What is the  11th term of -13,-12,-7,2,15...? [ \(2 x^ 2 -5 x-10\) 11th is 177]

Q4) What is the nth term of -1,2,7,14,23...? [ \( x^ 2 -2\) ]

Q4) What is the nth term of 0,11,28,51,80... ? [ \(3 x^ 2 + 2 x-5\) ]

Q4) What is the  20th term of 9,20,35,54,77...? [ \(2 x^ 2 + 5 x+2\) 20th is 902]

Q5) What is the nth term of 3,8,15,24,35... ? [ \( x^ 2 + 2x\) ]

Q5) What is the nth term of 5,9,19,35,57... ? [ \(3 x^ 2 -5 x+7\) ]

Q5) What is the  11th term of 3,7,17,33,55...? [ \(3 x^ 2 -5 x+5\) 11th is 313]

Q6) What is the nth term of 7,16,27,40,55... ? [ \( x^ 2 + 6x\) ]

Q6) What is the nth term of 4,16,34,58,88... ? [ \(3 x^ 2 + 3 x-2\) ]

Q6) What is the  19th term of 1,2,7,16,29...? [ \(2 x^ 2 -5 x+4\) 19th is 631]

Q7) What is the nth term of 5,12,21,32,45... ? [ \( x^ 2 + 4x\) ]

Q7) What is the nth term of -5,-1,7,19,35... ? [ \(2 x^ 2 -2 x-5\) ]

Q7) What is the  17th term of 5,9,17,29,45...? [ \(2 x^ 2 -2 x+5\) 17th is 549]

Q8) What is the nth term of -4,-6,-6,-4,0... ? [ \( x^ 2 -5x\) ]

Q8) What is the nth term of 1,13,31,55,85... ? [ \(3 x^ 2 + 3 x-5\) ]

Q8) What is the  11th term of -5,6,23,46,75...? [ \(3 x^ 2 + 2 x-10\) 11th is 375]

Q9) What is the nth term of -4,-1,4,11,20...? [ \( x^ 2 -5\) ]

Q9) What is the nth term of -5,1,13,31,55... ? [ \(3 x^ 2 -3 x-5\) ]

Q9) What is the  19th term of -10,-6,2,14,30...? [ \(2 x^ 2 -2 x-10\) 19th is 674]

Q10) What is the nth term of 5,8,13,20,29...? [ \( x^ 2 +4\) ]

Q10) What is the nth term of 4,10,22,40,64... ? [ \(3 x^ 2 -3 x+4\) ]

Q10) What is the  17th term of 14,25,40,59,82...? [ \(2 x^ 2 + 5 x+7\) 17th is 670]