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 -3,3,15,33,57... ? [ \(3 x^ 2 -3 x-3\) ]

Q1) What is the  15th term of -1,7,19,35,55...? [ \(2 x^ 2 + 2 x-5\) 15th is 475]

Q2) What is the nth term of -4,-1,4,11,20...? [ \( x^ 2 -5\) ]

Q2) What is the nth term of -11,-8,-1,10,25... ? [ \(2 x^ 2 -3 x-10\) ]

Q2) What is the  17th term of -1,0,5,14,27...? [ \(2 x^ 2 -5 x+2\) 17th is 495]

Q3) What is the nth term of 10,22,36,52,70... ? [ \( x^ 2 + 9x\) ]

Q3) What is the nth term of 12,22,36,54,76... ? [ \(2 x^ 2 + 4 x+6\) ]

Q3) What is the  18th term of 12,20,32,48,68...? [ \(2 x^ 2 + 2 x+8\) 18th is 692]

Q4) What is the nth term of 6,14,24,36,50... ? [ \( x^ 2 + 5x\) ]

Q4) What is the nth term of -1,11,29,53,83... ? [ \(3 x^ 2 + 3 x-7\) ]

Q4) What is the  12th term of 3,17,37,63,95...? [ \(3 x^ 2 + 5 x-5\) 12th is 487]

Q5) What is the nth term of 7,16,27,40,55... ? [ \( x^ 2 + 6x\) ]

Q5) What is the nth term of -5,1,13,31,55... ? [ \(3 x^ 2 -3 x-5\) ]

Q5) What is the  19th term of 3,14,29,48,71...? [ \(2 x^ 2 + 5 x-4\) 19th is 813]

Q6) What is the nth term of 10,22,36,52,70... ? [ \( x^ 2 + 9x\) ]

Q6) What is the nth term of -8,-4,6,22,44... ? [ \(3 x^ 2 -5 x-6\) ]

Q6) What is the  19th term of -9,-8,-3,6,19...? [ \(2 x^ 2 -5 x-6\) 19th is 621]

Q7) What is the nth term of -1,0,3,8,15... ? [ \( x^ 2 -2x\) ]

Q7) What is the nth term of 14,22,34,50,70... ? [ \(2 x^ 2 + 2 x+10\) ]

Q7) What is the  15th term of 10,21,38,61,90...? [ \(3 x^ 2 + 2 x+5\) 15th is 710]

Q8) What is the nth term of -7,-4,1,8,17...? [ \( x^ 2 -8\) ]

Q8) What is the nth term of 4,17,36,61,92... ? [ \(3 x^ 2 + 4 x-3\) ]

Q8) What is the  15th term of 15,27,45,69,99...? [ \(3 x^ 2 + 3 x+9\) 15th is 729]

Q9) What is the nth term of 11,24,39,56,75... ? [ \( x^ 2 + 10x\) ]

Q9) What is the nth term of 6,10,20,36,58... ? [ \(3 x^ 2 -5 x+8\) ]

Q9) What is the  18th term of 11,24,43,68,99...? [ \(3 x^ 2 + 4 x+4\) 18th is 1048]

Q10) What is the nth term of 9,20,33,48,65... ? [ \( x^ 2 + 8x\) ]

Q10) What is the nth term of 1,9,21,37,57... ? [ \(2 x^ 2 + 2 x-3\) ]

Q10) What is the  16th term of 8,16,28,44,64...? [ \(2 x^ 2 + 2 x+4\) 16th is 548]