For this case we have:
The general formula of the arithmetic sequence is given by:
[tex]a_n = a_1 + (n-1) d\\[/tex]
Where
[tex]a_n[/tex]: Last term
[tex]a_1[/tex]: First term
n: Number of terms
d: Difference
Rewriting according to the given common difference, we have:
[tex]a_n = a_1 + (n-1) (- 4.5)[/tex]
Answer:
[tex]a_n = a_1 + (n-1) (- 4.5)[/tex]
The explicit formula for an arithmetic sequence whose common difference is -4.5 is:
[tex]a_n=a_1-4.5(n-1)[/tex]
Explicit formula--
Explicit formula is the formula which is used to find the nth term of a sequence.
We know that the explicit formula for an arithmetic sequence is given by:
[tex]a_n=a_1+(n-1)d[/tex]
where d is the common difference of the sequence and [tex]a_1[/tex] is the first term of the sequence.
We have: d= -4.5
Hence, the explicit formula is given by:
[tex]a_n=a_1-4.5(n-1)[/tex]
