Step-by-step explanation:
arithmetic sequence.
an = an-1 + c = a1 + (n-1)c
c is in our case 2 (every new shape has 2 more vertices).
we have a a1 = 3.
an = 3 + 2(n-1)
so,
a21 = 3 + 2(20) = 3 + 40 = 43
the 21st shadow will have 43 vertices.
The greatest common factor would be 1.
X(exponent 2) - x - 6
------------------------- =
x(exponent 2) -4
(x-3)(x+2)
------------- =
(x-2)(x+2)
Cancel out the x + 2 factors.
x-3
---- <== ANSWER
x-2
Hope this helps! :)
1000 milliliters are in a liter.
