Question

Consider the sequence 3, 9, 15, 21, ...

Enter numbers in the boxes to represent the second term as an ordered pair.

(
,
)

Answer 1

The ordered pair to represent the second term as an ordered pair is:

• (2, 9)

Explanation:

Background knowledge about the sequence function

A sequence is defined as the function whose domain is the set of natural numbers (counting numbers).

1, 2, 3, 4, .... n, ....

↓

a₁, a₂, a₃, a₄, .... aₙ, ....

Here,

1 gets mapped onto a₁,

2 gets mapped onto a₂, and so on

The numbers a₁, a₂, a₃, a₄, .... aₙ, .... are the terms of the sequence.

The number aₙ is the nth term of a sequence.

And the sequence function is denoted by {aₙ}.

Given the sequence

3, 9, 15, 21, ...

Here,

a₁ = 3 is the first term

a₂ = 9 is the second term

Thus, the ordered pair to represent the second term as an ordered pair is:

• (2, 9)