What is the 100th term of this sequence? 14.5, 11, 7.5, 4, 0.5, ...

To evaluate the 100th term of the sequence given by 14.5, 11, 7.5, 4, 0.5, ... we proceed as follows:

The sequence is an arithmetic sequence:

the explicit formula is given by:

an=a + (n-1) d

common difference, d=-3.5

first term, a=14.5

nth term, an

number of terms, n

thus the 100th term will be evaluated as follows, plugging in the values in the formula:

an=14.5 + (100-1) (-3.5)

an=14.5-99*3.5

an=14.5-346.5

an=-332