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Answer:
[tex]a_{n}[/tex] = 7[tex]a_{n-1}[/tex]
Step-by-step explanation:
A recursive formula allows a rem in the sequence to be found by multiplying the previous term by the common ratio r
For this sequence
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-21}{-3}[/tex] = 7 , then recursive formula is
[tex]a_{n}[/tex] = 7[tex]a_{n-1}[/tex]