Question

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.

44, 45, 46, 47, ...


an =

Answer 1

The sequence you provided starts at 44 and increases by 1 with each subsequent term.

To express the n-th term of this sequence, you can use the following formula:

\[ a_n = 43 + n \]

In this expression:
- When \( n = 1 \), \( a_1 = 43 + 1 = 44 \)
- When \( n = 2 \), \( a_2 = 43 + 2 = 45 \)
- When \( n = 3 \), \( a_3 = 43 + 3 = 46 \)
- And so on.

So the expression for the n-th term of the sequence is:

\[ a_n = 43 + n \]