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CBSE Class 11-science Answered

<div><img src="https://images.topperlearning.com/topper/tinymce/imagemanager/files/bc6a9c28ddac3e7749b1936f037a8c895a1ab46f6a4d04.66180033Ansika25new.jpg" alt="" />The maths. problem is attached. Please send the complete solution step by step.</div>
Asked by sudhanshubhushanroy | 26 Nov, 2017, 06:03: PM
Expert Answer
begin mathsize 16px style now
straight t subscript straight r equals fraction numerator straight t over denominator 1.3.5....... left parenthesis 2 straight r plus 1 right parenthesis end fraction
straight t subscript straight r equals 1 half cross times fraction numerator 2 straight t plus 1 minus 1 over denominator 1.3.5....... left parenthesis 2 straight r minus 1 right parenthesis. left parenthesis 2 straight r plus 1 right parenthesis end fraction
2 straight t subscript straight r equals fraction numerator 1 over denominator 1.3.5....... left parenthesis 2 straight r minus 1 right parenthesis end fraction minus fraction numerator 1 over denominator 1.3.5....... left parenthesis 2 straight r plus 1 right parenthesis end fraction
2 straight t subscript 1 equals 1 minus fraction numerator 1 over denominator 1.3 end fraction
2 straight t subscript 2 equals fraction numerator 1 over denominator 1.3 end fraction minus fraction numerator 1 over denominator 1.3.5 end fraction
so
subscript straight t subscript 1 plus straight t subscript 2 plus straight t subscript 3 plus...... plus straight t subscript straight n equals 1 half open parentheses 1 minus fraction numerator 1 over denominator 1.3 end fraction plus fraction numerator 1 over denominator 1.3 end fraction minus fraction numerator 1 over denominator 1.3.5 end fraction plus......... plus fraction numerator 1 over denominator 1.3.5....... left parenthesis 2 straight n minus 1 right parenthesis end fraction minus fraction numerator 1 over denominator 1.3.5....... left parenthesis 2 straight n plus 1 right parenthesis end fraction close parentheses end subscript
so space sum equals 1 half open parentheses 1 minus fraction numerator 1 over denominator 1.3.5....... left parenthesis 2 straight n plus 1 right parenthesis end fraction close parentheses end style
Answered by Arun | 28 Nov, 2017, 04:48: PM
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