What is the 15th term in the arithmetic sequence described by this explicit formula? an = 63 + (n – 1)(–7)
a15 = 63 + (15 - 1)(-7)
a15 = 63 + 14(-7)
a15 = 63 - 98
a15 = - 35 <=== ur 15th term
Answer:
\(a_{15}\) = -35.
Step-by-step explanation:
Given : \(a_{n}\) = 63 + (n – 1)(–7)
To find : What is the 15th term in the arithmetic sequence .
Solution : We have given \(a_{n}\) = 63 + (n – 1)(–7).
We need to find 15 th terms , n = 15
\(a_{15}\) = 63 + (15 – 1)(–7).
\(a_{15}\) = 63 + 14 (-7).
\(a_{15}\) = 63 -98.
\(a_{15}\) = -35.
Therefore, \(a_{15}\) = -35.