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
