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konstantin123 [22]
2 years ago
11

Help pls!?!?!?!!! This is algebra 2

Mathematics
1 answer:
Tresset [83]2 years ago
5 0

\boxed{\sf a_n=\dfrac{(-1)^n}{5n}}

a:-

\\ \sf\longmapsto a_1=\dfrac{(-1)^1}{5(1)}

\\ \sf\longmapsto a_1=\dfrac{-1}{5}

\\ \sf\longmapsto a_1=-5

b:-

\\ \sf\longmapsto a_4=\dfrac{(-1)^4}{5(4)}

\\ \sf\longmapsto a_4=\dfrac{1}{20}

c:-

\\ \sf\longmapsto a_{30}=\dfrac{(-1)^{30}}{5(30)}

\\ \sf\longmapsto a_{30}=\dfrac{1}{150}

d:-

\\ \sf\longmapsto a_{19}=\dfrac{(-1)^{19}}{5(19)}

\\ \sf\longmapsto a_{19}=\dfrac{-1}{95}

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\begin{array}{l}{\rightarrow \frac{16 !}{9 ! \times 7 !}} \\\\ {\rightarrow \frac{16 \times 15 \times 14 \times 13 \times 12 \times 11 \times 10 \times 9 !}{9 ! \times 7 !}} \\\\ {\rightarrow \frac{16 \times 15 \times 14 \times 13 \times 12 \times 11 \times 10}{7 \times 6 \times 13 \times 12 \times 11 \times 10}} \\\\ {\rightarrow \frac{57657600}{5040}} \\\\ {\rightarrow 11440}\end{array}

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