Question

What is the next number in each of the following 3 sequences? 
8, 17, 33, 67, 133, 1? 
 

• A. 267
• B. 213
• C. 238
• D. 254

Hint:

When solving number sequence problems, check if the differences between terms follow a pattern (such as increasing by a constant value).

Answer 1

The Correct Option is A

For the given sequence \( 8, 17, 33, 67, 133, 1? \), let's look at the pattern. We notice that the differences between consecutive terms are increasing in a regular way: \[ 17 - 8 = 9, 33 - 17 = 16, 67 - 33 = 34, 133 - 67 = 66 \] The differences themselves increase by 7 each time. Thus, the next difference should be \( 66 + 7 = 73 \). Adding 73 to the last term, \( 133 + 73 = 267 \). Thus, the next number in the sequence is \( 267 \).