Question

Please give the answer of the set

Answer 1

Answer:

D = { 0 , 1 }

Step-by-step explanation:

D = { n ∈ N : 1/2 ( 1+(-1)^n)}

n ∈ 1,2,3,........

When n = 1,

1/2 (1 + (-1)¹) = 1/2 (0) = 0

When n = 2,

1/2(1+(-1)²) = 1/2 (2) = 1

When n = 3,

1/2( 1+(-1)³) = 1/2(0) = 0

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So when we substitute an odd number, the answer will be 0 and when we substitute an even number, the answer will be 1.

So, n = 0 and 1

D = { 0 , 1 }

Hope it helps you:)