please solve in detail   

Asked by Sanchit Sharma | 13th Mar, 2015, 06:22: PM

Expert Answer:

L e t space apostrophe a apostrophe space b e space t h e space f i r s t space t e r m space a n d space apostrophe d apostrophe space b e space t h e space c o m m o n space d i f f e r e n c e. a subscript p equals a plus left parenthesis p minus 1 right parenthesis d....... left parenthesis i right parenthesis a subscript p plus 2 q end subscript equals a plus left parenthesis p plus 2 q minus 1 right parenthesis d......... left parenthesis i i right parenthesis A d d i n g space left parenthesis i right parenthesis space a n d space left parenthesis i i right parenthesis comma space w e space g e t a subscript p plus a subscript p plus 2 q end subscript equals a plus left parenthesis p minus 1 right parenthesis d plus a plus left parenthesis p plus 2 q minus 1 right parenthesis d equals 2 a plus left parenthesis 2 p plus 2 q minus 2 right parenthesis d equals 2 left square bracket a plus left parenthesis p plus q minus 1 right parenthesis d right square bracket equals 2 a subscript p plus q end subscript H e n c e space P r o v e d

Answered by  | 13th Mar, 2015, 06:37: PM

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