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CBSE Class 11-science Answered

find sum
Asked by sakshirana374 | 24 Jul, 2022, 05:39: PM
Expert Answer
L e t space S equals 1 plus 4 over 5 plus 7 over 5 squared plus 10 over 5 cubed plus... space u p t o space n space t e r m s
rightwards double arrow 1 fifth S equals 1 fifth plus 4 over 5 squared plus 7 over 5 cubed plus 10 over 5 to the power of 4 plus...
rightwards double arrow S minus S over 5 equals 1 plus 3 over 5 plus 3 over 5 squared plus 3 over 5 cubed plus 3 over 5 to the power of 4 plus... space u p t o space n space t e r m s
rightwards double arrow 4 over 5 S equals 1 plus 3 open parentheses 1 fifth plus 1 over 5 squared plus 1 over 5 cubed plus 1 over 5 to the power of 4 plus... space u p t o space n space t e r m s close parentheses equals 1 plus 3 open parentheses fraction numerator begin display style 1 fifth end style open parentheses 1 minus begin display style 1 over 5 to the power of n end style close parentheses over denominator begin display style 1 fifth end style end fraction close parentheses 1 plus 3 open parentheses 1 minus 1 over 5 to the power of n close parentheses
S i m i l a r l y comma space 1 plus 4 over 5 plus 7 over 5 squared plus 10 over 5 cubed plus... infinity equals 1 plus fraction numerator 3 over denominator 5 open parentheses 1 minus 5 to the power of n close parentheses end fraction
Answered by Renu Varma | 24 Jul, 2022, 10:55: PM
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