Year 11 Maths - General Number Patterns and Recursion

Arithmetic Sequence Applications

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Questions

Question 1

30430

Find the \(n\)th term of the arithmetic sequence \(15,12,9,...\)

Answer

\({T_n} = 18-3n\)

Worked Solution

\begin{align}
&\begin{aligned}
a=15,\;\; d&=12-15 \\
&=-3 \\
\end{aligned}\\
&\begin{aligned}
T_{n} &=a+(n-1) d \\
&=15+(n-1)\times -3 \\
&= 15-3 n+3 \\
T_{n}&= 18-3 n
\end{aligned}
\end{align}

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