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The first & last terms of an AP are a & l respectively. Show that the sum of the nth term from the beginning & the nth term from the end is (a+l).

Asked by araima2001 | 17th Oct, 2015, 12:18: PM

Expert Answer:

$L e t space apostrophe a apostrophe space b e space t h e space i n i t i a l space t e r m space a n d space apostrophe d apostrophe space b e space t h e space c o m m o n space d i f f e r e n c e. T h u s space t h e space n t h space t e r m space o f space t h e space A P space i s space a subscript n equals l equals a plus open parentheses n minus 1 close parentheses d T h e space n t h space t e r m space f r o m space t h e space b e g i n n i n g space i s space apostrophe l apostrophe space a n d space t h e space n t h space t e r m space f r o m space t h e space e n d space i s space apostrophe a apostrophe. S u m space o f space t h e space a b o v e space t w o space t e r m s space i s space a plus open parentheses n minus 1 close parentheses d plus a equals l plus a$

Answered by Vimala Ramamurthy | 18th Oct, 2015, 07:57: AM

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