Question

Find the next term in the series: 3, 6, 11, 18, 27, ?

• A. 38
• B. 40
• C. 35
• D. 36

Hint:

When finding the next term in a series, look for patterns in the differences between consecutive terms. If the differences follow a simple pattern, use it to find the next term.

Answer 1

The Correct Option is D

Analyze the increments between successive elements: \[ 6 - 3 = 3, \quad 11 - 6 = 5, \quad 18 - 11 = 7, \quad 27 - 18 = 9 \] The differences form an arithmetic progression: 3, 5, 7, 9... with a common difference of 2. The next increment will be 9 + 2 = 11. Consequently, the subsequent term is: \[ 27 + 11 = 36 \] Answer: \( \boxed{36} \)