Question

Consider the sequence 73, 67, 61, 55, 49, 43.

a) What is the common difference in this sequence?
a) 6
b) 7
c) 5
d) 8

Answer 1

The common difference in the sequence 73, 67, 61, 55, 49, 43 is -6, but the answer is recorded as '6' since the magnitude is considered, regardless of being positive or negative.

Step-by-step explanation:

The sequence provided is 73, 67, 61, 55, 49, 43. To find the common difference, we subtract any term from the term that comes directly after it in the sequence. For instance:

• 67 - 73 = -6
• 61 - 67 = -6
• 55 - 61 = -6

The common difference in the sequence is therefore -6. Hence, the correct answer is option a) 6, as we consider the magnitude of the difference without regard to the sign.