Write an explicit formula for the sequence 10, 9.5, 9, 8.5, 8, … Then find . (1 point) Responses , Image with alt text: a subscript n baseline equals 10 minus .5 left parenthesis n minus 1 right parenthesis , Image with alt text: a subscript 8 baseline equals 6.5 , Image with alt text: a subscript n baseline equals 10 minus .5 left parenthesis n minus 1 right parenthesis , Image with alt text: a subscript 8 baseline equals 6 , Image with alt text: a subscript n baseline equals 10 plus .5 left parenthesis n minus 1 right parenthesis , Image with alt text: a subscript 8 baseline equals 6.5 ,
The explicit formula for the sequence is a_n = 10 - 0.5(n-1), where n represents the position in the sequence.
To find a_8, we substitute n = 8 into the formula:
a_8 = 10 - 0.5(8-1)
a_8 = 10 - 0.5(7)
a_8 = 10 - 3.5
a_8 = 6.5
Therefore, a_8 equals 6.5.