Recurring Rules

Maths: Edexcel A Level Pure Maths, topic 4.2.2

Sequences - Recurrence Relationships

If the 5th term in a sequence is 24, what are the 6th, 7th, and 8th terms if the recurrence relationship is u_n+1 = u_n + 4?

This is our recurrence relationship

This is our recurrence relationship

The 5th term in the sequence is 24

The 5th term in the sequence is 24

We get this formula for the next term (the 6th)

We get this formula for the next term (the 6th)

Evaluate to find the 6th term

Evaluate to find the 6th term

Do the same again to find the 7th term

Do the same again to find the 7th term

Evaluate

Evaluate

Do the same to find the 8th term

Do the same to find the 8th term

Evaluate

Evaluate

We can see the series goes up by 4 each time

We can see the series goes up by 4 each time

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