Question

Find the next term in given series. 2, 5, 10, 17, 26, ?

• A. 33
• B. 37
• C. 35
• D. 47

Hint:

Analyze the sequence of differences between terms to identify arithmetic or other patterns.

Answer 1

The Correct Option is B

The differences between successive terms are: \[ 5 - 2 = 3, \quad 10 - 5 = 5, \quad 17 - 10 = 7, \quad 26 - 17 = 9. \] The sequence of differences, 3, 5, 7, 9, ..., indicates an increase of 2 in each subsequent difference. The next difference is thus 11. Consequently, the next term is calculated as $26 + 11 = 37$.