# 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: .

• A
• B
• C
• D
• E

Q2:

The term of a quadratic sequence is . Find the order of the term that has a value of 183.

Q3:

Work out the formula for the term of the following quadratic sequence: .

• A
• B
• C
• D
• E

Q4:

Which of the following is a quadratic sequence?

• A
• B
• C
• D
• E

Q5:

Find the number of terms in the quadratic sequence .

Q6:

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

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

Q7:

What is the second difference of the quadratic sequence , where and 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

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.

• A
• B
• C
• D
• E

Q10:

Does 100 belong to the quadratic sequence whose term is ?

• AYes
• BNo

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