Mr Daniels Maths
Sequences Quadratic

Set 1

Set 2

Set 3

Q1) What is the nth term of 3,8,15,24,35... ? [ \( x^ 2 + 2x\) ]

Q1) What is the nth term of 0,12,30,54,84... ? [ \(3 x^ 2 + 3 x-6\) ]

Q1) What is the  20th term of -5,-1,7,19,35...? [ \(2 x^ 2 -2 x-5\) 20th is 755]

Q2) What is the nth term of 11,14,19,26,35...? [ \( x^ 2 +10\) ]

Q2) What is the nth term of 4,10,22,40,64... ? [ \(3 x^ 2 -3 x+4\) ]

Q2) What is the  15th term of 2,13,30,53,82...? [ \(3 x^ 2 + 2 x-3\) 15th is 702]

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

Q3) What is the nth term of -12,-8,2,18,40... ? [ \(3 x^ 2 -5 x-10\) ]

Q3) What is the  12th term of -1,6,19,38,63...? [ \(3 x^ 2 -2 x-2\) 12th is 406]

Q4) What is the nth term of 5,8,13,20,29...? [ \( x^ 2 +4\) ]

Q4) What is the nth term of 2,16,36,62,94... ? [ \(3 x^ 2 + 5 x-6\) ]

Q4) What is the  19th term of -1,9,23,41,63...? [ \(2 x^ 2 + 4 x-7\) 19th is 791]

Q5) What is the nth term of 8,18,30,44,60... ? [ \( x^ 2 + 7x\) ]

Q5) What is the nth term of 3,4,9,18,31... ? [ \(2 x^ 2 -5 x+6\) ]

Q5) What is the  17th term of -8,-7,-2,7,20...? [ \(2 x^ 2 -5 x-5\) 17th is 488]

Q6) What is the nth term of -5,-8,-9,-8,-5... ? [ \( x^ 2 -6x\) ]

Q6) What is the nth term of 3,10,23,42,67... ? [ \(3 x^ 2 -2 x+2\) ]

Q6) What is the  12th term of -12,-8,2,18,40...? [ \(3 x^ 2 -5 x-10\) 12th is 362]

Q7) What is the nth term of -3,-4,-3,0,5... ? [ \( x^ 2 -4x\) ]

Q7) What is the nth term of 16,26,40,58,80... ? [ \(2 x^ 2 + 4 x+10\) ]

Q7) What is the  18th term of -8,-1,12,31,56...? [ \(3 x^ 2 -2 x-9\) 18th is 927]

Q8) What is the nth term of 3,6,11,18,27...? [ \( x^ 2 +2\) ]

Q8) What is the nth term of 10,21,38,61,90... ? [ \(3 x^ 2 + 2 x+5\) ]

Q8) What is the  11th term of 16,30,50,76,108...? [ \(3 x^ 2 + 5 x+8\) 11th is 426]

Q9) What is the nth term of 7,10,15,22,31...? [ \( x^ 2 +6\) ]

Q9) What is the nth term of 5,8,15,26,41... ? [ \(2 x^ 2 -3 x+6\) ]

Q9) What is the  11th term of -9,-5,3,15,31...? [ \(2 x^ 2 -2 x-9\) 11th is 211]

Q10) What is the nth term of 8,11,16,23,32...? [ \( x^ 2 +7\) ]

Q10) What is the nth term of 11,20,33,50,71... ? [ \(2 x^ 2 + 3 x+6\) ]

Q10) What is the  16th term of 7,16,29,46,67...? [ \(2 x^ 2 + 3 x+2\) 16th is 562]