Determine the common difference of an AP whose n^th term is 2n+11.

Asked by reetatyagi8 | 21st Dec, 2015, 06:45: PM

Expert Answer:

G i v e n space t h a t 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 2 n plus 11 S u b s t i t u t i n g space n equals 1 space i n space t h e space e q u a t i o n space 2 n plus 11 comma space w e space h a v e space t h e space f i r s t space t e r m equals 2 cross times 1 plus 11 equals 13 S u b s t i t u t i n g space n equals 2 space i n space t h e space e q u a t i o n space 2 n plus 11 comma space w e space h a v e space t h e space s e c o n d space t e r m equals 2 cross times 2 plus 11 equals 15 C o m m o n space d i f f e r e n c e equals S e c o n d space t e r m minus F i r s t space t e r m equals 15 minus 13 equals 2 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 space o f space t h e space g i v e n space A P space i s space 2.

Answered by Vimala Ramamurthy | 22nd Dec, 2015, 09:02: AM

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