Answer:
[tex]a_{15}[/tex] = -35.
Step-by-step explanation:
Given : [tex]a_{n}[/tex] = 63 + (n – 1)(–7)
To find : What is the 15th term in the arithmetic sequence .
Solution : We have given [tex]a_{n}[/tex] = 63 + (n – 1)(–7).
We need to find 15 th terms , n = 15
[tex]a_{15}[/tex] = 63 + (15 – 1)(–7).
[tex]a_{15}[/tex] = 63 + 14 (-7).
[tex]a_{15}[/tex] = 63 -98.
[tex]a_{15}[/tex] = -35.
Therefore, [tex]a_{15}[/tex] = -35.