Question

2. 2 marks] Letting A = {5,5",59,54,... , not involve the notation use set builder notation to give an expression for A that does

Answer 1

Answer:

The set Builder Notation is: $\{5^n|n\in N\}$

Step-by-step explanation:

Consider the provided set:

$\{5,5^2,5^3,5^4...\}$

The Set-Builder Notation is a simple way to write sets, often sets with an infinite number of elements.

For example: The set {x : x > 0} is read as "the set of all x such that x is greater than 0.

The above set can be written as:

$\{5^1,5^2,5^3,5^4...\}$

We can observer the base is 5 and the exponent is increasing from 1 to ∞.

Thus, the set Builder Notation is: $\{5^n|n\in N\}$

Where, N is set of Natural numbers i.e. 1, 2, 3,.....