dogpotato7
Answered

please answer these as best as possible:

  1. The first term of a geometric sequence is 0.5 and the common ratio is 5. Find the 15th term.
  2. The first term of a geometric sequence is -10,000 and the common ratio is -1/2. Find the 6th term.
  3. The first term of a geometric sequence is 3/4 and the common ratio is 4. Find the 8th term.

Verified Answer :

apologiabiology

geometeric sequence

an=a1(r^(n-1))

r=common ratio

a1=first term

an=nth term

  1. a1=0.5

r=0.5

a15=0.5(5^(15-1))

a15=0.5(5^14)

a15=3,051,757,812.5



  1. a1=-10000

r=-1/2

a6=-10000(-1/2)^(6-1)

a6=-10000(-1/2)^(5)

a6=-10000(-1/32)

a6=312.5



a1=3/4

r=4

a6=(3/4)(4)^(8-1)

a6=(3/4)(4)^(7)

a6=12288

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