Answer:

Explanation:
The
th term of an arithmetic sequence is explicitly defined as
where
is the first term of the sequence and
is the the common difference.
From the given first five terms of the sequence we can see that the first term is
so
.
The common difference,
, can be calculated by
so we'll find the common difference of the given sequence by letting 
.
Now let's plug everything we know.



Answer:
33
Step-by-step explanation:
For every 5 squares, two are red and three are green. So 3/5 of the squares are green.
3/5x55=33
Answer:
3, 8, 14, 30, 58
Step-by-step explanation:
As with all formulas, put the numbers in place of the corresponding variables, and do the arithmetic.

The first 5 terms of the sequence are 3, 8, 14, 30, 58.
Bonn. H j j I in j.
Mmmmm
Mmmmm
Answer:
Since b^2 -4ac = 256 we have 2 real distinct root roots
Step-by-step explanation:
4x^2+12x=7
We need to subtract 7 to get it in the proper form
4x^2+12x-7=7-7
4x^2+12x-7=0
The discriminant is b^2 -4ac
when the equation is ax^2 +bx+c
so a =4 b=12 and c=-7
(12)^2 - 4(4)(-7)
144 +112
256
If b^2 -4ac > 0 we have 2 real distinct roots
If b^2 -4ac = 0 we have one real root
If b^2 -4ac < 0 we have two complex root
Since b^2 -4ac = 256 we have 2 real distinct root roots