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Formulas

Sequences Formulas – IGCSE Maths

Every sequences formula you need for Cambridge IGCSE Mathematics 0580, with clear explanations of when and how to use each one.

Linear nth term

Core
a+(n1)da + (n-1)d

Key formula for sequences in IGCSE Maths.

When to Use

Use when working with sequences problems.

Show your substitution clearly for method marks.

Quadratic nth term

Extended
an2+bn+can^2 + bn + c

Key formula for sequences in IGCSE Maths.

When to Use

Use when working with sequences problems.

Show your substitution clearly for method marks.

Geometric nth term

Extended
arn1ar^{n-1}

Key formula for sequences in IGCSE Maths.

When to Use

Use when working with sequences problems.

Show your substitution clearly for method marks.

Arithmetic sum

Extended
Sn=n2(first+last)S_n = \dfrac{n}{2}(\text{first} + \text{last})

Key formula for sequences in IGCSE Maths.

When to Use

Use when working with sequences problems.

Show your substitution clearly for method marks.

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Frequently Asked Questions

Which sequences formulas are given in the exam?

Check the IGCSE formula sheet provided in your exam. Some sequences formulas must be memorised.

How do I remember sequences formulas?

Practice using them in past paper questions. Repeated application is more effective than rote memorisation.

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