Answer:
Step-by-step explanation:
place x = 19
f(19) = 3 / 19 + 2 - Sqrt 21 - 3
= 3/21 - 4
= - 81/21
= - 27/7
a = 4 first term, r = ?, T10 = 100.
Tn = ar^n - 1 formula for g.p
T10 = 4r^ 10 - 1
100 = 4r^9
Divide both side by 4
100/4 = 4/4r^9
25 = r^9 take the 9th root of both side
9√25 = 9√r^9
r = 9√25
To find the nth term
Since Tn = ar^n - 1
Answer:

Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to

we have
the points (−1,12) and (1,2)
substitute



step 2
we know that
The equation of the line in slope intercept form is equl to

where
m is the slope
b is the y-intercept
we have


substitute in the linear equation and solve for b


therefore

Make use of prime factorizations:

Both terms have a common factor of
:

- - -
The second one is not true! We can write

Both terms have a common factor of
:

Since
, and
, we'd still have to show that
is a multiple of 6. This is impossible, because
and there is no multiple of 2 that can be factored out.