Mr Daniels Maths
Sequences Quadratic

Set 1

Set 2

Set 3

Q1) What is the nth term of 10,22,36,52,70... ? [ \( x^ 2 + 9x\) ]

Q1) What is the nth term of 6,12,24,42,66... ? [ \(3 x^ 2 -3 x+6\) ]

Q1) What is the  20th term of -4,5,18,35,56...? [ \(2 x^ 2 + 3 x-9\) 20th is 851]

Q2) What is the nth term of 4,10,18,28,40... ? [ \( x^ 2 + 3x\) ]

Q2) What is the nth term of 4,9,20,37,60... ? [ \(3 x^ 2 -4 x+5\) ]

Q2) What is the  13th term of 9,14,25,42,65...? [ \(3 x^ 2 -4 x+10\) 13th is 465]

Q3) What is the nth term of -7,-4,1,8,17...? [ \( x^ 2 -8\) ]

Q3) What is the nth term of -8,-4,4,16,32... ? [ \(2 x^ 2 -2 x-8\) ]

Q3) What is the  10th term of -1,10,25,44,67...? [ \(2 x^ 2 + 5 x-8\) 10th is 242]

Q4) What is the nth term of 6,9,14,21,30...? [ \( x^ 2 +5\) ]

Q4) What is the nth term of 3,7,15,27,43... ? [ \(2 x^ 2 -2 x+3\) ]

Q4) What is the  17th term of 3,6,13,24,39...? [ \(2 x^ 2 -3 x+4\) 17th is 531]

Q5) What is the nth term of 9,12,17,24,33...? [ \( x^ 2 +8\) ]

Q5) What is the nth term of 13,21,33,49,69... ? [ \(2 x^ 2 + 2 x+9\) ]

Q5) What is the  17th term of -3,7,21,39,61...? [ \(2 x^ 2 + 4 x-9\) 17th is 637]

Q6) What is the nth term of 8,18,30,44,60... ? [ \( x^ 2 + 7x\) ]

Q6) What is the nth term of 3,5,11,21,35... ? [ \(2 x^ 2 -4 x+5\) ]

Q6) What is the  16th term of 9,20,37,60,89...? [ \(3 x^ 2 + 2 x+4\) 16th is 804]

Q7) What is the nth term of 3,8,15,24,35... ? [ \( x^ 2 + 2x\) ]

Q7) What is the nth term of -9,-6,1,12,27... ? [ \(2 x^ 2 -3 x-8\) ]

Q7) What is the  19th term of -10,-6,2,14,30...? [ \(2 x^ 2 -2 x-10\) 19th is 674]

Q8) What is the nth term of 11,24,39,56,75... ? [ \( x^ 2 + 10x\) ]

Q8) What is the nth term of -4,-1,6,17,32... ? [ \(2 x^ 2 -3 x-3\) ]

Q8) What is the  15th term of 8,18,32,50,72...? [ \(2 x^ 2 + 4 x+2\) 15th is 512]

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

Q9) What is the nth term of 12,23,40,63,92... ? [ \(3 x^ 2 + 2 x+7\) ]

Q9) What is the  17th term of -10,-4,8,26,50...? [ \(3 x^ 2 -3 x-10\) 17th is 806]

Q10) What is the nth term of 10,13,18,25,34...? [ \( x^ 2 +9\) ]

Q10) What is the nth term of 3,4,9,18,31... ? [ \(2 x^ 2 -5 x+6\) ]

Q10) What is the  14th term of 15,25,39,57,79...? [ \(2 x^ 2 + 4 x+9\) 14th is 457]