alexwing285
alexwing285 alexwing285
  • 11-05-2017
  • Mathematics
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What are the first three terms of a geometric sequence in which [tex]a_5=25[/tex] and the common ratio is 5?

What are the first three terms of a geometric sequence in which texa525tex and the common ratio is 5 class=
What are the first three terms of a geometric sequence in which texa525tex and the common ratio is 5 class=
What are the first three terms of a geometric sequence in which texa525tex and the common ratio is 5 class=
What are the first three terms of a geometric sequence in which texa525tex and the common ratio is 5 class=

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irspow
irspow irspow
  • 11-05-2017
A geometric sequence can always be expressed as:

a(n)=ar^(n-1), a=initial value, r=common ratio, n=term number

We are told that a(5)=25 and r=5 so we can say:

25=a5^(5-1)

25=a5^4

25=625a

a=1/25  so now we know our explicit formula for this geometric sequence:

a(n)=(1/25)(5^(n-1))  and the first three terms will be a(1), a(2), and a(3)

1/25, 1/5, 1
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preseleeyy preseleeyy
  • 17-04-2020

Answer:

answer is a

Step-by-step explanation:

Answer Link

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