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Find the Sum to N Terms of the Series 12 + (12 + 22) + (12 + 22 + 32) + … - Mathematics

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प्रश्न

Find the sum to n terms of the series 12 + (12 + 22) + (12 + 22 + 32) + …

उत्तर

The given series is 12 + (12 + 22) + (12 + 2+ 32 ) + …

an = (12 + 22 + 32 +…….+ n2)

= nn+12n+16=n2n2+3n+16=2n3+3n2+n6=13n3+12n2+16n

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अध्याय 9: Sequences and Series - Exercise 9.4 [पृष्ठ १९६]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 9 Sequences and Series
Exercise 9.4 | Q 7 | पृष्ठ १९६

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