Number series – differences increase by a fixed step of +123: 499, 622, 868, 1237, 1729, 2344, ? Use the linear growth in first differences to find the next term.

Introduction / Context:Some series grow with first differences themselves forming an arithmetic progression. Here, each new difference rises by +123, creating a predictable ladder.

Given Data / Assumptions:

• Differences: 622−499=123, 868−622=246, 1237−868=369, 1729−1237=492, 2344−1729=615.

Concept / Approach:Each step adds another 123 to the previous difference. Therefore the next difference is 615 + 123 = 738.

Step-by-Step Solution:

Verification / Alternative check:Back-check: 3082 − 2344 = 738 fits the +123 ladder.

Why Other Options Are Wrong:

Common Pitfalls:Missing the pattern in differences and attempting ratios, which are irregular here.

Final Answer:3082