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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 = a= 2, an = an-1 –1, n > 2



Answer -

Given,

a1 = a2,an = an-1 – 1

Then,

a3 = a2 –1 = 2 – 1 = 1

a4 = a3 –1 = 1 – 1 = 0

a5 = a4 –1 = 0 – 1 = -1

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

The correspondingseries is

2 + 2 + 1 + 0 + (-1) +……

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