My guess would be -54 because we are starting with -54
You can treat sq rt5 as a variable even though it is a number:
Ex: x + x = 2x
Or as a number: 5 + 5 = 10 or 2(5)
So sq rt5 + sq rt5 = 2sq rt5
There are 5 people who can be guards, 2 will be guards. Since each person has the same chance of becoming a guard, each person has a 2/5 chance of being a guard which makes it unlikely for Diana to become a guard.
Hopefully the math terms won't confuse anyone.
So in the series, a_6 = 9 and a_8 = 15. Since it's an arithmetic sequence, all the terms in the series can be represented as:
a_n = a_0 + n * k
where n is the nth number. K is a constant you add to reach the next term, and a_0 is the starting constant.
a_6 = a_0 + 6 * k
a_8 = a_0 + 8 * k
solving this system gives you that
k = 3 and a_0 = -9
for any term n for this arithmetic sequence,
a_n = -9 + 3 * k
I might be wrong, but I think it is 8.
I think it’s 8 because all side lengths are equal in a square, meaning if one side length is 8 all the other side lengths are going to be 8 also.
