Mr Daniels Maths
Sequences Quadratic

Set 1

Set 2

Set 3

Q1) What is the nth term of 10,13,18,25,34...? [ \( x^ 2 +9\) ]

Q1) What is the nth term of -4,2,14,32,56... ? [ \(3 x^ 2 -3 x-4\) ]

Q1) What is the  17th term of -8,-4,4,16,32...? [ \(2 x^ 2 -2 x-8\) 17th is 536]

Q2) What is the nth term of -7,-12,-15,-16,-15... ? [ \( x^ 2 -8x\) ]

Q2) What is the nth term of 7,9,15,25,39... ? [ \(2 x^ 2 -4 x+9\) ]

Q2) What is the  15th term of 5,19,39,65,97...? [ \(3 x^ 2 + 5 x-3\) 15th is 747]

Q3) What is the nth term of 4,7,12,19,28...? [ \( x^ 2 +3\) ]

Q3) What is the nth term of 9,14,25,42,65... ? [ \(3 x^ 2 -4 x+10\) ]

Q3) What is the  16th term of -13,-12,-7,2,15...? [ \(2 x^ 2 -5 x-10\) 16th is 422]

Q4) What is the nth term of 7,10,15,22,31...? [ \( x^ 2 +6\) ]

Q4) What is the nth term of -3,4,17,36,61... ? [ \(3 x^ 2 -2 x-4\) ]

Q4) What is the  20th term of -4,6,20,38,60...? [ \(2 x^ 2 + 4 x-10\) 20th is 870]

Q5) What is the nth term of 5,12,21,32,45... ? [ \( x^ 2 + 4x\) ]

Q5) What is the nth term of 9,18,31,48,69... ? [ \(2 x^ 2 + 3 x+4\) ]

Q5) What is the  13th term of -7,-4,3,14,29...? [ \(2 x^ 2 -3 x-6\) 13th is 293]

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

Q6) What is the nth term of 3,17,37,63,95... ? [ \(3 x^ 2 + 5 x-5\) ]

Q6) What is the  20th term of 9,13,21,33,49...? [ \(2 x^ 2 -2 x+9\) 20th is 769]

Q7) What is the nth term of -6,-10,-12,-12,-10... ? [ \( x^ 2 -7x\) ]

Q7) What is the nth term of 16,27,42,61,84... ? [ \(2 x^ 2 + 5 x+9\) ]

Q7) What is the  10th term of -9,-2,11,30,55...? [ \(3 x^ 2 -2 x-10\) 10th is 270]

Q8) What is the nth term of -3,0,5,12,21...? [ \( x^ 2 -4\) ]

Q8) What is the nth term of 13,25,43,67,97... ? [ \(3 x^ 2 + 3 x+7\) ]

Q8) What is the  16th term of 0,10,24,42,64...? [ \(2 x^ 2 + 4 x-6\) 16th is 570]

Q9) What is the nth term of -4,-6,-6,-4,0... ? [ \( x^ 2 -5x\) ]

Q9) What is the nth term of -6,-5,0,9,22... ? [ \(2 x^ 2 -5 x-3\) ]

Q9) What is the  19th term of 0,2,8,18,32...? [ \(2 x^ 2 -4 x+2\) 19th is 648]

Q10) What is the nth term of -8,-5,0,7,16...? [ \( x^ 2 -9\) ]

Q10) What is the nth term of -5,-1,9,25,47... ? [ \(3 x^ 2 -5 x-3\) ]

Q10) What is the  17th term of 1,5,15,31,53...? [ \(3 x^ 2 -5 x+3\) 17th is 785]