Answer:
t(n) = (-1)^n * n/(n+1)
Step-by-step explanation:
First thing I'd say is that, the denominator happens to always be 1 more than the numerator including the the first term, which is 0/1
For that, we'd say the numerator = n, and since the denominator is 1 more than, we say it is = n + 1.
Then again, there is an alternating negative sign, that comes after every 2 terms. Note that when n is odd, the terms happen to be negative, but then, when n is even, the terms are positive.
Take a look at (−1)n, the exact same thing happened, and thus, we multiply each term by (−1)n so as to get the alternating negative sign.
Ultimately, we say that each term is in the form of
t(n) = (-1)^n * n/(n+1), Where n ≥ 0
