Sequence

Find a pattern from the given terms.

Inductive Reasoning

The first term, a₁, is 2.

2 = 1 + 1

So a₁ = 1 + 1.

The second term, a₂, is 3.

3 = 2 + 1

So a₂ = 2 + 1.

The third term, a₃, is 4.

4 = 3 + 1

So a₃ = 3 + 1.

The fourth term, a₄, is 5.

5 = 4 + 1

So a₄ = 4 + 1.

The fifth term, a₅, is 6.

6 = 5 + 1

So a₅ = 5 + 1.

a₁ = 1 + 1
a₂ = 2 + 1
a₃ = 3 + 1
a₄ = 4 + 1
a₅ = 5 + 1

Then
a_n = n + 1.

So a_n = n + 1.