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Write in simplest form the n th term of the seq... - SS2 Mathematics Sequence and Series Question

Write in simplest form the \(n\)th term of the sequence \(13,\ 8,\ 3,\ \ldots\)

A

18 - 5n

B

\(\frac{18}{5n}\)

C

\(\frac{- 18}{5n}\)

D

\(\frac{13 - 5n}{n + 5}\)

correct option: a

\(T_{n} = a + (n - 1)d\)

\(T_{n} = 13 + (n - 1)( - 5)\)

\(T_{n} = 13 - 5n + 5\)

\(T_{n} = 13 + 5 - 5n\)

\(T_{n} = 18 - 5n\)

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