Two terms in a geometric sequence are a5=15 and a6=1. What is the recursive rule that describes the sequence?

Mathematics

1 answer:

Drupady [299]3 years ago

4 0

Answer:

Rule = 759375(1/15)^(n-1)

Where n represent the number of term

Step-by-step explanation:

a5= ar^4= 15

a6= ar^5= 1

ar^4=15... Equation 1

ar^5=1.... Equation 2

Dividing equation 2 by equation 1

r= 1/15

For the value of a

ar^5=1

a(1/15)^5= 1

a(1/759375)= 1

a= 759375

Rule = 759375(1/15)^(n-1)

Where n represent the number of term

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