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Maths - Recurrence Relation

Can a recurrence relation sequence have a common difference? Are they classed as Arithmetic sequences??

Thanks!!
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Original post by JulieWaters
Can a recurrence relation sequence have a common difference? Are they classed as Arithmetic sequences??

Thanks!!


There are many types of recurrence relations in sequences. If you have say Un+1=Un+3 U_{n+1} = U_n + 3 , then this is obviously an arithmetic sequence.
But you could have Un+1=0.5Un U_{n+1} = 0.5U_n which is clearly a geometric sequence.

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