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

Observe the differences between consecutive terms: \[ 5 - 2 = 3, \quad 10 - 5 = 5, \quad 17 - 10 = 7, \quad 26 - 17 = 9. \] The pattern shows the increments increase by 2 each time: 3, 5, 7, 9, … The next difference should be 11. Therefore, next term = $26 + 11 = 37$.