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Permutations And Combinations

Question
CBSEENMA11012963

Write first five terms of the following sequence and obtain the corresponding series.

straight a subscript 1 space equals space straight a subscript 2 space equals space 2 comma space space space straight a subscript straight n space equals space straight a subscript straight n minus 1 end subscript space minus space 1, n>2

Solution

Here,        space straight a subscript 1 space equals space 2 comma space space space straight a subscript 2 equals 2.
                space space space straight a subscript straight n space equals space straight a subscript straight n minus 1 end subscript minus 1                        ...(i) (for n>2)

Putting n = 3 in (i), we get straight a subscript 3 equals straight a subscript 2 minus 1 space equals space 2 space minus space 1 space equals 1.
Putting n = 4 in (i), we get straight a subscript 4 space equals space straight a subscript 3 minus 1 space equals space 1 space minus space 1 space equals 0
Putting n = 5 in (i), we get WiredFaculty
The corresponding series is: 2 + 2 + 1 + 0 - 1 ...............

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