Mr Daniels Maths
Sequences Quadratic

Set 1

Set 2

Set 3

Q1) What is the nth term of 7,10,15,22,31...? [ \( x^ 2 +6\) ]

Q1) What is the nth term of -4,-2,4,14,28... ? [ \(2 x^ 2 -4 x-2\) ]

Q1) What is the  11th term of 1,14,33,58,89...? [ \(3 x^ 2 + 4 x-6\) 11th is 401]

Q2) What is the nth term of 6,14,24,36,50... ? [ \( x^ 2 + 5x\) ]

Q2) What is the nth term of 8,12,22,38,60... ? [ \(3 x^ 2 -5 x+10\) ]

Q2) What is the  11th term of -8,-4,6,22,44...? [ \(3 x^ 2 -5 x-6\) 11th is 302]

Q3) What is the nth term of -5,-8,-9,-8,-5... ? [ \( x^ 2 -6x\) ]

Q3) What is the nth term of 2,13,30,53,82... ? [ \(3 x^ 2 + 2 x-3\) ]

Q3) What is the  17th term of -7,-1,11,29,53...? [ \(3 x^ 2 -3 x-7\) 17th is 809]

Q4) What is the nth term of 9,20,33,48,65... ? [ \( x^ 2 + 8x\) ]

Q4) What is the nth term of -10,-6,4,20,42... ? [ \(3 x^ 2 -5 x-8\) ]

Q4) What is the  18th term of 8,13,24,41,64...? [ \(3 x^ 2 -4 x+9\) 18th is 909]

Q5) What is the nth term of -5,-2,3,10,19...? [ \( x^ 2 -6\) ]

Q5) What is the nth term of 11,20,33,50,71... ? [ \(2 x^ 2 + 3 x+6\) ]

Q5) What is the  15th term of 4,8,18,34,56...? [ \(3 x^ 2 -5 x+6\) 15th is 606]

Q6) What is the nth term of -8,-14,-18,-20,-20... ? [ \( x^ 2 -9x\) ]

Q6) What is the nth term of 15,26,43,66,95... ? [ \(3 x^ 2 + 2 x+10\) ]

Q6) What is the  17th term of 6,14,26,42,62...? [ \(2 x^ 2 + 2 x+2\) 17th is 614]

Q7) What is the nth term of 10,22,36,52,70... ? [ \( x^ 2 + 9x\) ]

Q7) What is the nth term of 2,13,28,47,70... ? [ \(2 x^ 2 + 5 x-5\) ]

Q7) What is the  12th term of 8,20,38,62,92...? [ \(3 x^ 2 + 3 x+2\) 12th is 470]

Q8) What is the nth term of 5,12,21,32,45... ? [ \( x^ 2 + 4x\) ]

Q8) What is the nth term of 9,13,21,33,49... ? [ \(2 x^ 2 -2 x+9\) ]

Q8) What is the  11th term of -4,-2,4,14,28...? [ \(2 x^ 2 -4 x-2\) 11th is 196]

Q9) What is the nth term of -3,0,5,12,21...? [ \( x^ 2 -4\) ]

Q9) What is the nth term of 14,22,34,50,70... ? [ \(2 x^ 2 + 2 x+10\) ]

Q9) What is the  16th term of -12,-11,-6,3,16...? [ \(2 x^ 2 -5 x-9\) 16th is 423]

Q10) What is the nth term of 8,18,30,44,60... ? [ \( x^ 2 + 7x\) ]

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

Q10) What is the  10th term of 8,11,18,29,44...? [ \(2 x^ 2 -3 x+9\) 10th is 179]