Respuesta :

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.