<span>5 ,1 ,-3,-7 ? what the dickens is going on?

notice, from 5 to 1, is really -4 units,

from 1 to -3, is -4 units as well, 1 -4 = -3 and so on.

so, to get the next term's value, you simply subtract 4 from the current one, namely -4 is the "common difference".

and we also know the first term is 5, ok... then

</span> $\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=-4\\
a_1=5\\
n=100
\end{cases}
\\\\\\
a_{100}=5+(100-1)(-4)\implies a_{100}=5+(99)(-4)
\\\\\\
a_{100}=5-396\implies a_{100}=-391$ <span>
</span>

3 0

3 years ago

Find the slope from the given points (-5 , 3) (2 , 4)

STALIN [3.7K]

Answer: 1/7

(-5,3)= (x1,y1)

(2,4)= (x2,y2)

Slope= $\frac{y2-y1}{x2-x1}$