There are 10 girls and 8 boys in Mr Augello's class

Mathematics

2 answers:

poizon [28]2 years ago

7 0

Whats the rest of the question

BARSIC [14]2 years ago

5 0

that would be 18 ppl in his class not counting him self

i think thayts what your trying to ask hope this helps

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Find d for the arithmetic series with S17=-170 and a1=2

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So, we know the sum of the first 17 terms is -170, thus S₁₇ = -170, and we also know the first term is 2, well

$\bf \textit{ sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
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\end{cases}
\\\\\\
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\\\\\\
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well, since the 17th term is that much, let's check what "d" is then anyway,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=17\\
a_{17}=-22\\
a_1=2
\end{cases}
\\\\\\
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\\\\\\
\cfrac{-24}{16}=d\implies -\cfrac{3}{2}=d$

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