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ICSE Class 10 Answered

the sum n terms of the series root2+root8+ root 18+root 32
Asked by srilakshmivytla28 | 10 Sep, 2023, 09:19: AM
answered-by-expert Expert Answer
square root of 2 plus square root of 8 plus square root of 18 plus square root of 32 plus.... equals square root of 2 plus 2 square root of 2 plus 3 square root of 2 plus 4 square root of 2 plus.... equals square root of 2 open parentheses 1 plus 2 plus 3 plus 4 plus.... close parentheses now space consider 1 plus 2 plus 3 plus 4 plus... straight a space equals space 1 straight d space equals space 1 straight s subscript straight n equals straight n over 2 open parentheses 2 straight a plus open parentheses straight n minus 1 close parentheses straight d close parentheses equals straight n over 2 open parentheses 2 plus open parentheses straight n minus 1 close parentheses close parentheses equals straight n over 2 open parentheses straight n plus 1 close parentheses Hence comma square root of 2 plus square root of 8 plus square root of 18 plus square root of 32 plus.... equals square root of 2 cross times straight n over 2 open parentheses straight n plus 1 close parentheses
Answered by Arun | 11 Sep, 2023, 10:11: AM

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ICSE 10 - Maths
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