The recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50
How to determine the recursive sequence?
The sequence is given as:
50,−10,2,....
The above sequence is a geometric sequence, and it has the following parameters:
- First term, a = 50
- Common ratio, r = -1/5 i.e. -10/50 = 5
This means that the product of the current term and -1/5 gives the next term.
i.e.
[tex]a_n = -\frac{a_{n-1} }{5}[/tex]
Hence, the recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50
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