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Question -

Write the first five terms of each of the sequences in Exercises 11 to 13 and obtain the corresponding series:

a1┬а= a2┬а= 2, an┬а= an-1┬атАУ1, n > 2



Answer -

Given,

a1┬а= a2,an┬а= an-1┬атАУ 1

Then,

a3┬а= a2┬атАУ1 = 2 тАУ 1 = 1

a4┬а= a3┬атАУ1 = 1 тАУ 1 = 0

a5┬а= a4┬атАУ1 = 0 тАУ 1 = -1

Thus, the first 5terms of the sequence are 2, 2, 1, 0 and -1.

The correspondingseries is

2 + 2 + 1 + 0 + (-1) +тАжтАж

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