Identifique o próximo numero da sequencia 1,1,2,-1
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Given : sequence: 1, 1, 2, -1,
To Find : next number in the sequence
Solution:
1, 1, 2, -1,
1 + 1 = 2
1 - 2 = - 1
2 + (-1) = 1
Next number in sequence is 1
logic is
Tₙ₊₂ = Tₙ + (-1)ⁿ⁺¹Tₙ₊₁ where T₁ = 1 T₂ = 1
n = 1 , T₃ = T₁ + (-1)¹⁺¹T₂ = 1 + 1 = 2
n = 2 T₄ = T₂ + (-1)²⁺¹T₃ = 1 - 2 = -1
n =3 T₅ = T₃ + (-1)³⁺¹T₄ = 2 + (-1) = 1
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Answer: 1
Step-by-step explanation:
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