What is the next number in the following sequence: 32, 37, 47, 58, 71, ?

Concept: In a digit-sum-generated number series, each term is formed by adding the sum of the digits of the current term to the current term itself — next term = current term + digit-sum(current term).

Working:

1. 32 → digit sum = 3 + 2 = 5, so next term = 32 + 5 = 37

2. 37 → digit sum = 3 + 7 = 10, so next term = 37 + 10 = 47

3. 47 → digit sum = 4 + 7 = 11, so next term = 47 + 11 = 58

4. 58 → digit sum = 5 + 8 = 13, so next term = 58 + 13 = 71

5. 71 → digit sum = 7 + 1 = 8, so next term = 71 + 8 = 79

Cross-check: Every step above reproduces the very next term already given in the sequence (37, 47, 58, 71), so the same digit-sum rule can be trusted to generate the missing term too.

Answer: 79 is the term produced by this rule, so it completes the sequence.