Answer:
The explicit formula for the sequence is:
Option: C
C. [tex]a_n=6-n[/tex]
Step-by-step explanation:
We are given first five terms of a sequence as:
5,4,3,2,1
i.e. if [tex]a_n[/tex] represent the nth term of a sequence then we have:
[tex]a_1=5\\\\a_2=4\\\\a_3=3\\\\a_4=2\\\\a_5=1[/tex]
Hence, the rule that follows for the terms of the sequence is:
C. [tex]a_n=6-n[/tex]
Since when n=1 we have:
[tex]a_1=6-1\\\\a_1=5[/tex]
when n=2 we have:
[tex]a_2=6-2\\\\a_2=4[/tex]
when n=3 we have:
[tex]a_3=6-3\\\\a_3=3[/tex]
when n=4 we have:
[tex]a_4=6-4\\\\a_4=2[/tex]
when n=5 we have:
[tex]a_5=6-5\\\\a_5=1[/tex]
