Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, .)
8/9, 9/10, 10/11, 11/12
an=
(n +7 / (n+8)
Thank you so much
To find the expression for the nth term of the sequence, we need to observe the pattern.
We can see that the numerator starts at 8 and increases by 1 each time (8, 9, 10, 11), while the denominator starts at 9 and also increases by 1 each time (9, 10, 11, 12).
Therefore, the expression for the nth term can be written as:
a_n = (n + 7) / (n + 8)
This formula will work for n = 1, 2, 3, and so on.
To find the expression for the nth term of the sequence, let's analyze the pattern:
The numerator starts from 8 and increases by 1 each time.
The denominator starts from 9 and also increases by 1 each time.
Based on this, we can conclude that the nth term of the sequence is given by the expression:
an = (8 + n)/(9 + n)
By plugging in different values for n, we can find the respective terms in the sequence. For example, when n = 1, we have:
a1 = (8 + 1)/(9 + 1) = 9/10
Similarly, when n = 2, we have:
a2 = (8 + 2)/(9 + 2) = 10/11
This formula will work for any value of n, giving you the nth term of the sequence.