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Verified Answer :

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.