what is AP?

Asked by Krishna Kumar Yadav | 10th Sep, 2014, 04:31: PM

Expert Answer:

AP means arithmetic progression.
 
C o n s i d e r space t h e space e x a m p l e comma space 1 comma 4 comma 7 comma 10 comma 13 comma 16 comma 19 comma.... I n space t h e space a b o v e space s e r i e s comma space e v e r y space n u m b e r space d i f f e r s space b y space t h e space p r e v i o u s space n u m b e r space b y space 3 space a s s u m i n g space 1 space a s space t h e space i n i t i a l space t e r m T h u s comma space t h e space c o m m o n space d i f f e r e n c e comma space d comma space i s space 3 space a n d space t h e space i n i t i a l space t e r m space o f space t h e space A P comma space a comma space i s space 1. F r o m space t h e space a b o v e space s e r i e s space w e space c a n space f i n d space t h e space n t h space t e r m space o f space t h e space s e r i e s space b y space u sin g space t h e space f o r m u l a t subscript n equals a plus open parentheses n minus 1 close parentheses d S u p p o s e space i n space t h e space a b o v e space s e r i e s comma space l e t space s space f i n d space t h e space 10 t h space t e r m space o f space t h e space s e r i e s. T h u s comma t subscript 10 equals 1 plus open parentheses 10 minus 1 close parentheses cross times 3 equals 1 plus 9 cross times 3 equals 1 plus 27 equals 28 T h e r e f o r e comma space 28 space i s space t h e space 10 t h space t e r m space o f space t h e space a b o v e space s e r i e s.

Answered by Dharma Teja | 10th Sep, 2014, 04:45: PM

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