what is the explicit rule and recursive rule?

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Mathematics

Description

Write an explicit rule and a recursive rule using the sequence. 

45, 50, 55, 60, 65

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Explanation & Answer

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When we represent a sequence by describing the relationship between its successive terms, we are representing the sequence recursively

When we represent a sequence with a formula that lets us find any term in the sequence without knowing any other terms, we are representing the sequence explicitly. 

Explicit rule

45, 50, 55, 60, 65 ..................Solution:   an =a1+d(n-1)   where  a1 is the firdt number and d id the common difference in this case a1=45 and d=5 



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