Question

Find a formula for the general term

of the sequence, assuming that the pattern of the first few terms continues.{1/2,-4/3,9/4,-18/5,25/6,.....}

Answer 1

The formula for the general term of the given sequence is (n^2) / (n+1).

Step-by-step explanation:

The given sequence is: 1/2, -4/3, 9/4, -18/5, 25/6,...

From the given pattern, we can observe that the numerator of each term is the square of the term number (n) and the denominator is n+1.

So, the formula for the general term (Tn) of the sequence is:

Tn = (n2) / (n+1)