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CBSE Class 11-science Answered

Please answer. 
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Asked by dineshchem108 | 05 Jan, 2019, 05:55: PM
answered-by-expert Expert Answer
Let α be the first term and β be the common difference of given G.P.
 
begin mathsize 12px style p to the power of t h end exponent space t e r m space colon space space alpha space beta to the power of p minus 1 end exponent space equals space a space....................... left parenthesis 1 right parenthesis q to the power of t h end exponent space t e r m space colon space space alpha space beta to the power of q minus 1 end exponent space equals space b space....................... left parenthesis 2 right parenthesis r to the power of t h end exponent space t e r m space colon space space alpha space beta to the power of r minus 1 end exponent space equals space c space space....................... left parenthesis 3 right parenthesis d i v i d e space left parenthesis 1 right parenthesis space b y space left parenthesis 2 right parenthesis space colon space space a over b space equals space space beta to the power of p over beta to the power of q space space space space o r space a to the power of q over b to the power of p space equals space beta to the power of p q end exponent over beta to the power of q p end exponent space equals space 1 space space semicolon space space h e n c e space a to the power of q over b to the power of p space equals space 1 space.......... left parenthesis 4 right parenthesis S i m i l a r l y space b y space d i v i d i n g space left parenthesis 2 right parenthesis space b y space left parenthesis 3 right parenthesis comma space w e space g e t space space space space b to the power of r over c to the power of q space equals space 1 space.......... left parenthesis 5 right parenthesis space S i m i l a r l y space b y space d i v i d i n g space left parenthesis 3 right parenthesis space b y space left parenthesis 1 right parenthesis comma space w e space g e t space space space space c to the power of p over a to the power of r space equals space 1 space.......... left parenthesis 6 right parenthesis f r o m space left parenthesis 4 right parenthesis comma space left parenthesis 5 right parenthesis space a n d space left parenthesis 6 right parenthesis comma space space a to the power of q over b to the power of p space cross times space b to the power of r over c to the power of q space space cross times space c to the power of p over a to the power of r equals space 1 h e n c e space space space a to the power of q minus r end exponent space b to the power of r minus p end exponent space c to the power of p minus q end exponent space equals space 1 end style
Answered by Thiyagarajan K | 06 Jan, 2019, 08:34: PM

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