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Lesson Worksheet: Quadratic Sequences Mathematics

In this worksheet, we will practice finding the general formula for the nth term of a quadratic sequence.

Q1:

Write down the next two terms in the following quadratic sequence: 4,8,16,28,44,.

  • A88,116
  • B64,128
  • C88,128
  • D128,256
  • E64,88

Q2:

The 𝑛thterm of a quadratic sequence is 𝑛+𝑛+1. Find the order of the term that has a value of 183.

Q3:

Work out the formula for the 𝑛th term of the following quadratic sequence: 23,20,15,8,1,.

  • A𝑛4
  • B𝑛+4
  • C𝑛+24
  • D𝑛+24
  • E𝑛24

Q4:

Which of the following is a quadratic sequence?

  • A10,12,16,22,30,
  • B10,13,14,16,18,
  • C6,15,17,22,33,
  • D11,13,18,32,50,
  • E8,14,16,32,40,

Q5:

Find the number of terms in the quadratic sequence 6,13,26,,1,546.

Q6:

What is the type of sequence that has constant second differences?

  • AHarmonic sequence
  • BArithmetic sequence
  • CCubic sequence
  • DQuadratic sequence
  • EGeometric sequence

Q7:

What is the second difference of the quadratic sequence 2𝑛+𝐴𝑛+𝐵, where 𝐴 and 𝐵 are constants?

Q8:

If the difference between each term of a sequence increases or decreases at a constant rate, what is the type of this sequence?

  • ACubic sequence
  • BHarmonic sequence
  • CGeometric sequence
  • DArithmetic sequence
  • EQuadratic sequence

Q9:

If the first and second terms of a quadratic sequence are 3 and 20 and its second difference is 4, find its general term.

  • A4𝑛11𝑛+10
  • B2𝑛+11𝑛10
  • C2𝑛10𝑛11
  • D2𝑛11𝑛+10
  • E4𝑛+11𝑛10

Q10:

Does 100 belong to the quadratic sequence whose 𝑛th term is 𝑛+58𝑛20?

  • AYes
  • BNo

This lesson includes 1 additional question and 81 additional question variations for subscribers.

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