Given:
The first term of an arithmetic sequence = 10
Common difference = -3
To find:
The formula for nth term of the arithmetic sequence.
Solution:
The nth term of an arithmetic sequence is:
[tex]a_n=a+(n-1)d[/tex]
Where, a is the first term and d is the common difference.
Putting [tex]a=10[/tex] and [tex]d=-3[/tex] in the above formula, we get
[tex]a_n=10+(n-1)(-3)[/tex]
[tex]a_n=10-3n+3[/tex]
[tex]a_n=-3n+13[/tex]
Therefore, the required formula for the nth term of the arithmetic sequence is [tex]a_n=-3n+13[/tex].
