यदि किसी गुणोत्तर श्रेढी के n, 2n तथा ...

यदि किसी गुणोत्तर श्रेढी के n, 2n तथा 3n पदों के योगफल क्रमशः `S_(1), S_(2)` और `S_(3)` हों , तो सिद्ध कीजिए कि
`S_(1)^(2)+S_(2)^(2)=S_(1)(S_(2)+S_(3))` .

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