Answer:
we need to prove : for every integer n>1, the number 
is a multiple of 5.
1) check divisibility for n=1, 
(divisible)
2) Assume that 
is divisible by 5, 
3) Induction,
Now, 
Take out the common factor,
(divisible by 5)
add both the sides by f(k)
We have proved that difference between 
and is divisible by 5.
so, our assumption in step 2 is correct.
Since is divisible by 5, then must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.
Therefore, for every integer n>1, the number is a multiple of 5.
The similarities between constructing a perpendicular line through a point on a line and constructing a perpendicular through a point off a line include:
- Both methods involve making a 90-degree angle between two lines.
- The methods determine a point equidistant from two equidistant points on the line.
<h3>What are perpendicular lines?</h3>
Perpendicular lines are defined as two lines that meet or intersect each other at right angles.
In this case, both methods involve making a 90-degree angle between two lines and the methods determine a point equidistant from two equidistant points on the line.
Learn more about perpendicular lines on:
brainly.com/question/7098341
#SPJ1
I would say B but I can't see the question very well.
GJ is a tangent
АG is a radius
A tangent line to a circle is perpendicular to the radius drawn to the tangent point ⇒ m∠АGJ = 90° ⇒ ΔАGJ is the right triangle.
<span>By the Pythagorean theorem:
</span>AJ² = АG² + GJ²
AJ² = 9² + 12² = 81 + 144 = 225
AJ = √225 = 15 units.
Answer:
Step-by-step explanation:
