Answer the following

Asked by tultuldutta58 | 8th Jan, 2018, 03:21: AM

Expert Answer:

begin mathsize 16px style Consider space straight a space sequence space whose space straight n to the power of th space term space is space straight a space linear space expression space in space straight n.
Then comma space straight n to the power of th space term equals straight a subscript straight n equals An plus straight B space space space space space left parenthesis straight A comma space straight B thin space are space constants right parenthesis
rightwards double arrow straight a subscript straight n plus 1 end subscript equals straight A left parenthesis straight n plus 1 right parenthesis plus straight B
Now comma space straight a subscript straight n plus 1 end subscript minus straight a subscript straight n equals left square bracket straight A left parenthesis straight n plus 1 right parenthesis plus straight B right square bracket minus left curly bracket An plus straight B right square bracket equals straight A
This space shows space that space straight a subscript straight n plus 1 end subscript minus straight a subscript straight n space is space independent space of space straight n space and space hence space it space is space straight a space constant.
Hence comma space the space sequence space is space an space straight A. straight P. space with space common space difference space straight A. end style

Answered by Rashmi Khot | 9th Jan, 2018, 04:03: PM