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Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest form.

a1= 40

an= 5an–1

User Jeyan
by
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1 Answer

1 vote

It's a geometric sequence where
r=5.


a_n=ar^(n-1)

Therefore


a_n=40\cdot5^(n-1)=8\cdot5\cdot5^(n-1)=8\cdot5^n

User Pepijn Gieles
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