Question
Sun March 15, 2015 By: Vashi Vyas

Show that a1, a2, a3....an form an A.P. where an =9-5n.

Expert Reply
Vimala Ramamurthy
Sun March 15, 2015
G i v e n space t h a t space a subscript n equals 9 minus 5 n T h u s comma space a subscript 1 equals 9 minus 5 cross times 1 equals 4 a subscript 2 equals 9 minus 5 cross times 2 equals 9 minus 10 equals negative 1 a subscript 3 equals 9 minus 5 cross times 3 equals 9 minus 15 equals negative 6 C o n s i d e r space t h e space d i f f e r e n c e space a subscript 3 minus a subscript 2 equals negative 1 minus 4 equals negative 5 a n d a subscript 3 minus a subscript 2 equals negative 6 minus open parentheses negative 1 close parentheses equals negative 5 T h u s space t h e space c o m m o n space d i f f e r e n c e space i s space minus 5 T h u s space t h e space g i v e n space r e l a t i o n space f o r m s space a n space A P comma space f o r space i n i t i a l space t e r m space a s space a equals 4 space a n d space t h e space c o m m o n space d i f f e r e n c e space a s space minus 5
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