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. 27, 54, 81, 108, ...

A) 27n
B) 27n - 27
C) 27n + 27
D) 27n - 1

Answer 1

The expression to describe the given sequence is 27n, which is option A) 27n, representing the term's position multiplied by 27.

Step-by-step explanation:

The sequence given in the question is 27, 54, 81, 108, ..., which increases by 27 for each subsequent term. To describe the sequence using an expression, we start with the position of a term, represented by n, where n = 1 for the first term. Since each term is a multiple of 27, multiply 27 by the position number (n) to get the value of the term at that position. Therefore, the expression to describe the sequence is 27n, which corresponds to option A) 27n. This expression yields 27 when n = 1, 54 when n = 2, and so on, matching the given sequence perfectly.