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Question: If \(a _ { 1 } = a _ { 2 } = 2 , a _ { n } = a _ { n - 1 } - 1 ( n > 2 )\), then \(a _ { 5 }\) is....

If a1=a2=2,an=an−1−1(n>2)a _ { 1 } = a _ { 2 } = 2 , a _ { n } = a _ { n - 1 } - 1 ( n > 2 ), then a5a _ { 5 } is.

A

1

B

−1- 1

C

0

D

−2- 2

Answer

−1- 1

Explanation

Solution

Obviously, a3=a2−1=2−1=1a _ { 3 } = a _ { 2 } - 1 = 2 - 1 = 1

a4=a3−1=1−1=0a _ { 4 } = a _ { 3 } - 1 = 1 - 1 = 0

a5=a4−1=0−1=−1a _ { 5 } = a _ { 4 } - 1 = 0 - 1 = - 1