Year 11 Maths - Specialist Sequences and Series

Arithmetic Series

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Questions

Question 1

17426

The first term of an A.P. is $ - 3$ and the ${\rm{1}}{{\rm{0}}^{{\rm{th}}}}$ term is ${\rm{24}}{\rm{.}}$ The sum of the first ${\rm{10}}$ terms is?

Answer

$105$

Worked Solution

$$
\begin{aligned}
a&=-3 , T_{10}=24, n=10 \\
S_{n} &=\frac{n}{2}(a+l) \quad\left(l=T_{10}\right) \\
S_{10} &=\frac{10}{2}(-3+24) \\
&=105
\end{aligned}
$$

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