Mr Daniels Maths
Sequences Quadratic

Set 1

Set 2

Set 3

Q1) What is the nth term of -1,2,7,14,23...? [ \( x^ 2 -2\) ]

Q1) What is the nth term of -5,2,15,34,59... ? [ \(3 x^ 2 -2 x-6\) ]

Q1) What is the  20th term of -13,-12,-7,2,15...? [ \(2 x^ 2 -5 x-10\) 20th is 690]

Q2) What is the nth term of 6,9,14,21,30...? [ \( x^ 2 +5\) ]

Q2) What is the nth term of 6,7,12,21,34... ? [ \(2 x^ 2 -5 x+9\) ]

Q2) What is the  12th term of 12,21,34,51,72...? [ \(2 x^ 2 + 3 x+7\) 12th is 331]

Q3) What is the nth term of 10,13,18,25,34...? [ \( x^ 2 +9\) ]

Q3) What is the nth term of -10,-7,0,11,26... ? [ \(2 x^ 2 -3 x-9\) ]

Q3) What is the  11th term of -7,-4,3,14,29...? [ \(2 x^ 2 -3 x-6\) 11th is 203]

Q4) What is the nth term of 5,12,21,32,45... ? [ \( x^ 2 + 4x\) ]

Q4) What is the nth term of 10,19,32,49,70... ? [ \(2 x^ 2 + 3 x+5\) ]

Q4) What is the  11th term of 3,15,33,57,87...? [ \(3 x^ 2 + 3 x-3\) 11th is 393]

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

Q5) What is the nth term of 3,5,11,21,35... ? [ \(2 x^ 2 -4 x+5\) ]

Q5) What is the  19th term of 11,20,33,50,71...? [ \(2 x^ 2 + 3 x+6\) 19th is 785]

Q6) What is the nth term of 9,12,17,24,33...? [ \( x^ 2 +8\) ]

Q6) What is the nth term of 10,17,30,49,74... ? [ \(3 x^ 2 -2 x+9\) ]

Q6) What is the  19th term of -1,13,33,59,91...? [ \(3 x^ 2 + 5 x-9\) 19th is 1169]

Q7) What is the nth term of -7,-12,-15,-16,-15... ? [ \( x^ 2 -8x\) ]

Q7) What is the nth term of 11,25,45,71,103... ? [ \(3 x^ 2 + 5 x+3\) ]

Q7) What is the  18th term of 0,8,20,36,56...? [ \(2 x^ 2 + 2 x-4\) 18th is 680]

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

Q8) What is the nth term of 11,22,37,56,79... ? [ \(2 x^ 2 + 5 x+4\) ]

Q8) What is the  13th term of -2,9,24,43,66...? [ \(2 x^ 2 + 5 x-9\) 13th is 394]

Q9) What is the nth term of -4,-1,4,11,20...? [ \( x^ 2 -5\) ]

Q9) What is the nth term of 6,14,26,42,62... ? [ \(2 x^ 2 + 2 x+2\) ]

Q9) What is the  15th term of -7,-3,5,17,33...? [ \(2 x^ 2 -2 x-7\) 15th is 413]

Q10) What is the nth term of 7,16,27,40,55... ? [ \( x^ 2 + 6x\) ]

Q10) What is the nth term of -7,-2,9,26,49... ? [ \(3 x^ 2 -4 x-6\) ]

Q10) What is the  11th term of 8,17,30,47,68...? [ \(2 x^ 2 + 3 x+3\) 11th is 278]