Mr Daniels Maths
Sequences Quadratic

Set 1

Set 2

Set 3

Q1) What is the nth term of -4,-1,4,11,20...? [ \( x^ 2 -5\) ]

Q1) What is the nth term of 12,22,36,54,76... ? [ \(2 x^ 2 + 4 x+6\) ]

Q1) What is the  12th term of -10,-6,4,20,42...? [ \(3 x^ 2 -5 x-8\) 12th is 364]

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

Q2) What is the nth term of 6,11,22,39,62... ? [ \(3 x^ 2 -4 x+7\) ]

Q2) What is the  12th term of -4,3,16,35,60...? [ \(3 x^ 2 -2 x-5\) 12th is 403]

Q3) What is the nth term of 5,12,21,32,45... ? [ \( x^ 2 + 4x\) ]

Q3) What is the nth term of 6,13,26,45,70... ? [ \(3 x^ 2 -2 x+5\) ]

Q3) What is the  20th term of -12,-10,-4,6,20...? [ \(2 x^ 2 -4 x-10\) 20th is 710]

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

Q4) What is the nth term of 3,5,11,21,35... ? [ \(2 x^ 2 -4 x+5\) ]

Q4) What is the  18th term of 3,13,27,45,67...? [ \(2 x^ 2 + 4 x-3\) 18th is 717]

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

Q5) What is the nth term of 3,9,21,39,63... ? [ \(3 x^ 2 -3 x+3\) ]

Q5) What is the  13th term of 9,15,27,45,69...? [ \(3 x^ 2 -3 x+9\) 13th is 477]

Q6) What is the nth term of 11,24,39,56,75... ? [ \( x^ 2 + 10x\) ]

Q6) What is the nth term of 12,26,46,72,104... ? [ \(3 x^ 2 + 5 x+4\) ]

Q6) What is the  20th term of -9,-7,-1,9,23...? [ \(2 x^ 2 -4 x-7\) 20th is 713]

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

Q7) What is the nth term of -8,-3,8,25,48... ? [ \(3 x^ 2 -4 x-7\) ]

Q7) What is the  13th term of -2,5,18,37,62...? [ \(3 x^ 2 -2 x-3\) 13th is 478]

Q8) What is the nth term of -1,2,7,14,23...? [ \( x^ 2 -2\) ]

Q8) What is the nth term of -1,10,25,44,67... ? [ \(2 x^ 2 + 5 x-8\) ]

Q8) What is the  20th term of 5,19,39,65,97...? [ \(3 x^ 2 + 5 x-3\) 20th is 1297]

Q9) What is the nth term of -6,-10,-12,-12,-10... ? [ \( x^ 2 -7x\) ]

Q9) What is the nth term of 9,22,41,66,97... ? [ \(3 x^ 2 + 4 x+2\) ]

Q9) What is the  19th term of 15,24,37,54,75...? [ \(2 x^ 2 + 3 x+10\) 19th is 789]

Q10) What is the nth term of -7,-12,-15,-16,-15... ? [ \( x^ 2 -8x\) ]

Q10) What is the nth term of 7,8,13,22,35... ? [ \(2 x^ 2 -5 x+10\) ]

Q10) What is the  13th term of -9,-8,-3,6,19...? [ \(2 x^ 2 -5 x-6\) 13th is 267]