Write a possible explicit rule for the nth term.
1/2, 1/4, 1/6, 1/8, 1/10
If the terms were
2,4,6,8,10
could you do it?
Then that would be 2n.
To find the explicit rule for the nth term of the given sequence, we can observe that each term is the reciprocal of an even number, where the numerators are all 1.
The denominators, on the other hand, form an arithmetic sequence where each term increases by 2.
Hence, we can conclude that the explicit rule for the nth term of this sequence is:
Term (n) = 1 / (2n), where n represents the position of the term in the sequence.