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Th Write an recursive formula for an, the n term of the sequence 128, -32,8,... a1 an =

User Elephantik
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At first, we must find the common ratio between each two consecutive terms


\begin{gathered} (-32)/(128)=-(1)/(4) \\ (8)/(-32)=-(1)/(4) \end{gathered}

The common ratio is -1/4

The first term is 128

Then the recursive formula is


a_1=1stterm;a_n=r.a_(n-1)

r is the common ratio

r = -1/4


a_1=128;a_n=(-(1)/(4)).a_(n-1)

User Ben Zittlau
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