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what is the recursive formula for arithmetic and geometric sequences?

 Feb 11, 2016
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For arothmetric sequence:  a= first term;
                                             an= an-1 + d

a1 = the first term in the sequence
an = the nth term in the sequence 
an-1 = the term before the nth term 
n = the term number
d = the common difference.

 

For Geometric Sequence:

an=a1*rn-1

an is the nth term of the sequence. 

 

a1 is the first term in the sequence. 

 

r is the common ratio for the geometric sequence. You will either be given this value or be given enough information to compute it. You must substitute a value for r into the formula.

 

n is treated like the variable in a sequence. For example, when writing the general explicit formula, n is the variable and does not take on a value. But if you want to find the 12th term, then n does take on a value and it would be 12.

 Feb 11, 2016

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