Number series (next term): Increasing differences by a constant step of 5. Given sequence: 6, 11, 21, 36, 56, ? Identify the missing number that continues the pattern. Choose the correct value.

Given dataSequence: 6, 11, 21, 36, 56, ?

Concept/ApproachLook at first differences; if those grow with a fixed increment, extend the pattern.

Step-by-step calculation11 − 6 = 521 − 11 = 1036 − 21 = 1556 − 36 = 20Next difference = 25 (adds +5 each time)Missing term = 56 + 25 = 81

Verification/AlternativeDifferences: 5, 10, 15, 20, 25 → arithmetic progression with d = 5.

Common pitfallsConfusing with multiplication; it is a simple second-order linear pattern.

Final Answer81