Year 11 Maths - Specialist Sequences and Series

Arithmetic Sequences

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Questions

Question 1

17387

Find the ${\rm{1}}{{\rm{9}}^{{\rm{th}}}}$ term of the arithmetic sequence ${\rm{3, 11, 19, \ldots }}$

Answer

${T_{19}} = 147$

Worked Solution

$$
\begin{aligned}
3,11, & 19, \ldots \\
a=3, & \,d=11-3=8 \\
T_{n} &=a+(n-1) d \\
T_{19} &=3+(19-1) \times 8 \\
&=3+18 \times 8 \\
&=147
\end{aligned}
$$

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