Problem

The $n^{\text {th }}$ term of a sequence is given by
\[
T(n)=8 n+9
\]
Work out the $5^{\text {th }}$ term of this sequence.

Answer

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Answer

\(\boxed{49}\) is the 5th term of the sequence.

Steps

Step 1 :Given the formula for the nth term of a sequence: \(T(n) = 8n + 9\)

Step 2 :Substitute n = 5 to find the 5th term: \(T(5) = 8(5) + 9\)

Step 3 :Calculate the value: \(T(5) = 40 + 9\)

Step 4 :\(T(5) = 49\)

Step 5 :\(\boxed{49}\) is the 5th term of the sequence.

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