What is the inverse of this given function?
1 answer:
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Answer:
Step-by-step explanation:
Hello, please consider the following.
So this is divisible by 3.
Now, to prove that this is divisible by 9 = 3*3 we need to prove that
is divisible by 3. We will prove it by induction.
Step 1 - for n = 1
4+17=21= 3*7 this is true
Step 2 - we assume this is true for k so is divisible by 3
and we check what happens for k+1
is divisible by 3 and
is divisible by 3, by induction hypothesis
So, the sum is divisible by 3.
Step 3 - Conclusion
We just prove that is divisible by 3 for all positive integers n.
Thanks
Answer:
Construct a square of side length 4 cm
Step-by-step explanation:
* Lets explain how to construct a square polygon with side length 4 cm
- Use your straightedge to draw a horizontal line
- Measure on the horizontal line a segment of 4 cm
- Label its endpoints by A and B (AB = 4 cm)
- Open your compass at a distance greater then half AB (3 cm)
- Put the pin of the compass at point B and draw an arc intersects AB
at point E and the horizontal line at point F
- Open the compass at a distance greater than the length of the side
of the square (6 cm) and put its pin on the point E and draw an arc
- Put the pin of the compass on the point F without changing the open
of the compass and draw another arc
- The two arcs intersect each other at point G
- Join BG and measure 4 cm from point B and label the end point of
the 4 cm by C
- Open your compass at a distance 4 cm and put the pin on point C
and draw an arc and put it on point A with the same distance 4 cm
and draw another arc, the two arc intersect each other at point D
∴ ABCD is a square of side length 4 cm
# Look to the attached figure to more understand
