Answer:
the explicit rule is the difference, which is -5.
Step-by-step explanation:
Answer: 1/4
Step-by-step explanation:
In a stack of 24, the 2 mediums are odd and even cards in this question. This means that 1/2 the cards are even and 1/2 are odd. To get a even card once is a 1/2 chance, then to get it again is 1/2 x 1/2 chance or 1/4 chance. This is what I think.
The final equation is:

Further explanation:
The general form of equation of a line in slope-intercept form is:

Here m is the slope
Given
m=1
(x,y) = (-7,-4)

To find the value of b, we have to put the point in the equation

The final equation is:

Keywords: Slope-intercept form, equation of line
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Let's start from what we know.

Note that:

(sign of last term will be + when n is even and - when n is odd).
Sum is finite so we can split it into two sums, first

with only positive trems (squares of even numbers) and second

with negative (squares of odd numbers). So:

And now the proof.
1) n is even.
In this case, both

and

have

terms. For example if n=8 then:

Generally, there will be:

Now, calculate our sum:



So in this case we prove, that:

2) n is odd.
Here,

has more terms than

. For example if n=7 then:

So there is

terms in

,

terms in

and:

Now, we can calculate our sum:




We consider all possible n so we prove that: