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Svetlanka [38]
4 years ago
9

A geometric sequence is defined by the explicit formula an=5(-4)^n-1 what is the recursive formula for the nth term of this sequ

ence?
Mathematics
1 answer:
Furkat [3]4 years ago
4 0
Hello,

a_{n}=5*(-4)^{n-1}\\
 a_{n-1}=5*(-4)^{n-2}\\\\
\dfrac{a_{n}}{a_{n-1}}=(-4)^{n-1-(n-2)}=-4\\\\

Formula\ is\ :\\
 a_{n}=-4*a_{n-1}\\
a_{1}=5\\



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