SOLUTION: Please give the recursive formula in both subscript and function.
2,-6,18,-54
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Question 1084171: Please give the recursive formula in both subscript and function.
2,-6,18,-54
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In subscript form, the recursive formula would be
)
Which says "The starting term is 
. To get the nth term 
, we need to multiply the previous term 
by -3."
In this case, n is some positive whole number (n > 0).
---------------------------------------------------------------------------
With function form, we have the same basic format just with different notation
The function form would be
where n > 0 is a whole number.
If we plug in n = 2 to get the second term, we get
replace every n with 2
Replace f(1) with 2 (since is defined above)
and we get the proper second term, which is -6
If we plug in n = 3 to get the third term, we get
replace every n with 3
Replace f(2) with -6 (since we just found above)
and we get the proper third term, which is 18
The rest of the terms are generated in this recursive fashion.
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