Need help right now pt.2

Mathematics

1 answer:

ch4aika [34]3 years ago

7 0

Answer:

a) see graph

b) No

Step-by-step explanation:

The given relation is

{ $(-4,7),(-2,-1),(-2,0),(3,3)$ }

The arrow diagram is shown in the attachment.

b) The relation is not a function because -2 alone maps onto two different y-values.

One-to-many relation cannot be a function.

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Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...

kari74 [83]

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$\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=10\\
d=4\\
n=17
\end{cases}
\\\\\\
a_{17}=10+(17-1)(4)\implies a_{17}=10+(16)(4)
\\\\\\
a_{17}=10+64\implies a_{17}=74\\\\
-------------------------------$

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\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
a_1=10\\
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n=17
\end{cases}
\\\\\\
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