Given:
[tex]a_9=35[/tex]
[tex]d=4[/tex]
To find:
The value for the 9th term of the sequence.
Solution:
We have,
[tex]a_9=35[/tex]
[tex]d=4[/tex]
Here, d is the common difference. It means the given sequence is an arithmetic sequence.
We know that the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)d[/tex]
Where, [tex]a_1[/tex] is the first term and d is the common difference.
If nth term is [tex]a_n[/tex], then the 9th term is [tex]a_9[/tex] and the value of [tex]a_9[/tex] is given.
[tex]a_9=35[/tex]
Therefore, the value for the 9th term of the sequence is 35.