asiamhoward5851 asiamhoward5851
  • 24-03-2018
  • Mathematics
contestada

List the first five terms of the sequence. a1 = 2, an+1 = an 1 + an

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calculista
calculista calculista
  • 02-04-2018
we have that
an+1 = an/(1 + an)
a1 = 2

1) find the a2  term
n=1
a(1+1) = a1/(1 + a1)------> 2/(1+2)-----> a2=2/3

2) find the a3 term
n=2
a(2+1) = a2/(1 + a2)------> (2/3)/(1+2/3)-----> a3=2/5

3) find the a4 term
n=3
a(3+1) = a3/(1 + a3)------> (2/5)/(1+2/5)-----> a4=2/7

4) find the a5 term
n=4
a(4+1) = a4/(1 + a4)------> (2/7)/(1+2/7)-----> a5=2/9

5) List the first five terms of the sequence
2, (2/3), (2/5), (2/7), (2/9)

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