Equation 6738

Solve the given equation in the set N:
1 - x + x2 - x3 + x4 - x5 +…. + = 1/3

Correct answer:

x =  2

Step-by-step explanation:

a1​=1 a2​ = −x  q = a2​/a1​ = −x q = a3​/a2​ = −x  s =  1−qa1​ ​ = 1/3  3 ⋅ 1 = 1−q  3⋅ 1=1−(−x)  x=2  x=12​=2  x=2  q=−x=−2 ∣q∣ > 1 => P={ 0 }

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