Let

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

So, the base case is ok. Now, we need to assume
and prove
.
states that

Since we're assuming
, we can substitute the sum of the first n terms with their expression:

Which terminates the proof, since we showed that

as required
Answer:
32. steps below.
Step-by-step explanation:
So calculate 4(2x2^3-8)
=
4(2^4-8)
calculate
4(16-8)
Then get
4x8=32.
So the x intercepts are going to be at the places where y = 0 so you can just read that off and get (-2,0) and (3,0). Hope this helps :)
Answer:
The answer is

Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula

where
m is the slope
( x1 , y1) is the point
From the question the point is (2, 4) and the slope is 3
The equation of the line is

We have the final answer as

Hope this helps you
Y=cd-8
Add 8 to each side giving you
y+8=cd
Divide by d on each side giving you
C=(y+8)/d