Question

Bethany needs to arrange a set of files in a particular order. Each file has a label with a code written on it that follows a pattern.

The codes for the first 7 files are:
28, 30, 26, 32, 24, 34, 22

What is the code for the 8th file?

• A. 6
• B. 8
• C. 38
• D. 36

Answer 1

The correct option is D 36

The numbers 28, 30, 26, 32, 24, 34, and 22 form a series of alternating numbers in an addition and subtraction series.

The first number is added to 2, and the resulting number is subtracted from the next multiple of 2, and the series continues.

Multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, ....

So, the series will be:

Hence, the code for the 8th file =
22 + 14 = 36