To find the nth term rule of the given sequence: 1/5, 3/5, 5/5, 7/5, we need to observe the pattern of how the terms are changing as n increases.
We can see that the numerators of the fractions are increasing by 2 each time, while the denominators remain constant at 5. Therefore, the nth term can be written as:
nth term = (2n - 1) / 5
So, for example, when n = 1, the first term is:
(2(1) - 1) / 5 = 1/5
When n = 2, the second term is:
(2(2) - 1) / 5 = 3/5
And so on. This formula allows us to find any term in the sequence without having to list them all out individually.
Answers & Comments
Answer:
nth term = (2n - 1) / 5
Step-by-step explanation:
To find the nth term rule of the given sequence: 1/5, 3/5, 5/5, 7/5, we need to observe the pattern of how the terms are changing as n increases.
We can see that the numerators of the fractions are increasing by 2 each time, while the denominators remain constant at 5. Therefore, the nth term can be written as:
nth term = (2n - 1) / 5
So, for example, when n = 1, the first term is:
(2(1) - 1) / 5 = 1/5
When n = 2, the second term is:
(2(2) - 1) / 5 = 3/5
And so on. This formula allows us to find any term in the sequence without having to list them all out individually.