Question

Write a possible explicit rule for the nth term of the sequence: 1/2, 2/3, 3/4, 4/5, 5/6

a. an = n/(n + 1)
b. an = an-1/(n + 1)
c. an = n/an - 1
d. an = (n-1)/(n + 1)

Answer 1

I would pick A because if you look and plug in, you would get all your answers. A)an=n/(n+1) n= 1,2,3,4,5 a(1) = 1/(1+1) =1/2 a(3) = 3/(3+1) = 3/4

Answer 2

we are given the sequence 1/2, 2/3, 3/4, 4/5, 5/6. In this case, we are asked to determine the formula that represents the sequence. We can use trial and error to determine the formula. It is seen that this is not an arithmetic nor a geometric sequence. The sequence that makes sense here is A. an = n/(n + 1)