Mr Daniels Maths
Sequences Quadratic

Set 1

Set 2

Set 3

Q1) What is the nth term of -1,0,3,8,15... ? [ \( x^ 2 -2x\) ]

Q1) What is the nth term of 10,22,40,64,94... ? [ \(3 x^ 2 + 3 x+4\) ]

Q1) What is the  14th term of 8,19,36,59,88...? [ \(3 x^ 2 + 2 x+3\) 14th is 619]

Q2) What is the nth term of 3,6,11,18,27...? [ \( x^ 2 +2\) ]

Q2) What is the nth term of 3,12,25,42,63... ? [ \(2 x^ 2 + 3 x-2\) ]

Q2) What is the  15th term of 12,20,32,48,68...? [ \(2 x^ 2 + 2 x+8\) 15th is 488]

Q3) What is the nth term of 8,11,16,23,32...? [ \( x^ 2 +7\) ]

Q3) What is the nth term of 2,14,32,56,86... ? [ \(3 x^ 2 + 3 x-4\) ]

Q3) What is the  16th term of 3,6,13,24,39...? [ \(2 x^ 2 -3 x+4\) 16th is 468]

Q4) What is the nth term of -7,-4,1,8,17...? [ \( x^ 2 -8\) ]

Q4) What is the nth term of 11,25,45,71,103... ? [ \(3 x^ 2 + 5 x+3\) ]

Q4) What is the  12th term of 14,28,48,74,106...? [ \(3 x^ 2 + 5 x+6\) 12th is 498]

Q5) What is the nth term of 10,22,36,52,70... ? [ \( x^ 2 + 9x\) ]

Q5) What is the nth term of 6,11,22,39,62... ? [ \(3 x^ 2 -4 x+7\) ]

Q5) What is the  14th term of 9,17,29,45,65...? [ \(2 x^ 2 + 2 x+5\) 14th is 425]

Q6) What is the nth term of -9,-6,-1,6,15...? [ \( x^ 2 -10\) ]

Q6) What is the nth term of -3,1,9,21,37... ? [ \(2 x^ 2 -2 x-3\) ]

Q6) What is the  18th term of 7,15,27,43,63...? [ \(2 x^ 2 + 2 x+3\) 18th is 687]

Q7) What is the nth term of -4,-1,4,11,20...? [ \( x^ 2 -5\) ]

Q7) What is the nth term of 9,18,31,48,69... ? [ \(2 x^ 2 + 3 x+4\) ]

Q7) What is the  11th term of -8,-5,2,13,28...? [ \(2 x^ 2 -3 x-7\) 11th is 202]

Q8) What is the nth term of 9,20,33,48,65... ? [ \( x^ 2 + 8x\) ]

Q8) What is the nth term of 11,20,33,50,71... ? [ \(2 x^ 2 + 3 x+6\) ]

Q8) What is the  19th term of 13,24,41,64,93...? [ \(3 x^ 2 + 2 x+8\) 19th is 1129]

Q9) What is the nth term of -2,1,6,13,22...? [ \( x^ 2 -3\) ]

Q9) What is the nth term of -5,2,15,34,59... ? [ \(3 x^ 2 -2 x-6\) ]

Q9) What is the  17th term of -7,-3,7,23,45...? [ \(3 x^ 2 -5 x-5\) 17th is 777]

Q10) What is the nth term of -5,-8,-9,-8,-5... ? [ \( x^ 2 -6x\) ]

Q10) What is the nth term of 1,13,31,55,85... ? [ \(3 x^ 2 + 3 x-5\) ]

Q10) What is the  18th term of -5,4,17,34,55...? [ \(2 x^ 2 + 3 x-10\) 18th is 692]