#MathUnusual | Factor of the SUM | 49^k +1
6 Video Views·Sep 2, 2026
Factor of the SUM | 49^k +1 | IIT JEE
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Video Summary
AI GeneratedThis video provides a step-by-step mathematical derivation to find the greatest integer $k$ such that $49^k + 1$ is a factor of the geometric sum $\\sum_{i=0}^{125} 49^i$. By applying the geometric series formula, difference of squares, and binomial expansion, the solution determines that the maximum value for $k$ is 63.