Question

An arithmetic sequence A starts 2, 5, ... Which value for n has the second-highest frequency? Which has the lowest?

a) n=2, n=3
b) n=3, n=2
c) n=1, n=4
d) n=4, n=1

Answer 1

The second-highest frequency occurs when n=3, while the lowest frequency occurs when n=1.

This correct answer is d)

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. In this case, the sequence starts with 2 and adds 3 to each term.

The sequence can be written as: 2, 5, 8, 11, 14, ...

The second-highest frequency occurs when n=3, as the second term in the sequence (5) appears twice. Therefore, the answer is option b) n=3, n=2.

The lowest frequency occurs when n=1, as the first term in the sequence (2) only appears once.

Therefore, the answer is option d) n=4, n=1.

This correct answer is d)