Math, asked by rajputshivank34, 8 months ago

Find the next number in the sequence: 1, 1, 2, -1, 1, -2,-1,

Answers

Answered by amitnrw
10

Given :  sequence: 1, 1, 2, -1, 1, -2,-1,

To Find : next number in the sequence

Solution:

1, 1, 2, -1, 1, -2,-1,

1  + 1  = 2

1  - 2 = - 1

2 + (-1) = 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

n =4  T₆ = T₄  + (-1)⁴⁺¹T₅  = -1  -  (1) = -2

n =5  T₇ = T₅  + (-1)⁵⁺¹T₆  =  1  + (-2) = -1

n =6  T₈ = T₆  + (-1)⁶⁺¹T₇  =  -2  - (-1) = -1  

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Answered by myrra1
0

Answer:

dcvncc

Step-by-step explanation:

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