If \( S_{1}, S_{2}, S_{3} \) denote the sum of \( n \) terms of 3 a... VIDEO
If \( S_{1}, S_{2}, S_{3} \) denote the sum of \( n \) terms of 3 arithmetic series whose first terms are unity and their common
\( \mathrm{P} \) difference are in \( \mathrm{HP} \), prove that
W
\[
n=\frac{2 S_{3} S_{1}-S_{1} S_{2}-S_{2} S_{3}}{S_{1}-2 S_{2}+S_{3}}
\]
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