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Course Content
Algebra 1
0/14
Algebra 2
0/16
Trigonometry 1
0/18
Coordinate Geometry of the Line
0/14
Probability 1
0/14
Geometry 1
0/6
Differential Calculus
0/10
Trigonometry 2
0/10
Sequences & Series
0/12
Statistics 1
0/9
Coordinate Geometry of the Circle
0/14
Algebra 3
0/16
Complex Numbers
0/12
Geometry 2
0/4
Integration
0/8
Differential Calculus Applications
0/8
Financial Maths
0/8
Length, Area & Volume
0/6
Probability 2
0/9
Functions
0/15
Statistics 2
0/4
Inferential Statistics
0/6
Digital Lessons

Knowledge Check Quiz

#### EXAMS.IE

##### Proofs by Induction

Hint

There is a difference between $$>$$ and $$\geq$$.

1 / 5

$$3^n>3n$$ for $$n=1$$.

Hint

This is equivalent to $$3^2>6$$.

2 / 5

$$3^n>3n$$ for $$n=2$$.

Hint

This is equivalent to $$3^3>9$$.

3 / 5

$$3^n>3n$$ for $$n=3$$.

Hint

This is equivalent to $$3^4>12$$.

4 / 5

$$3^n>3n$$ for $$n=4$$.

Hint

We know the inequality is not true for $$n=1$$.

5 / 5

Based on the previous four answers, which of the following proofs would be worth checking via induction?