Question

 help please     An arithmetic sequence is defined by the recursive formula t1 = 9, tn = tn - 1 - 4, where n ∈N and n > 1. The sequence is

A) -9, -13, -17, -21, -25, -29, ...

B) -9, -4, -8, -12, -16, -20, ...

C) 9, -4, -8, -12, -16, -20, ...

D) 9, 5, 1, -3, -7, -11, ...

Answer 1

D 9,5,1,-3,-7,-11...

Answer 2

9 , 5 , 1 , - 3 , -7  , - 11  is  defined by the recursive formula t₁  = 9   & tₙ = tₙ₋₁   - 4  n> 1

Step-by-step explanation:

t₁  = 9

tₙ = tₙ₋₁   - 4

t₂ = t₁  - 4

=> t₂ = 9 - 4

=>  t₂ = 5

t₃ = t₂ - 4

=> t₃ = 5 - 4

=>  t₃ = 1

t₄ = t₃ - 4

=> t₄ = 1 - 4

=>  t₄ = -3

t₅ = t₄ - 4

=> t₅ = -3 - 4

=>  t₅ = -7

t₆ = t₅ - 4

=> t₆ = -7 - 4

=>  t₆ = -11

Hence

9 , 5 , 1 , - 3 , -7  , - 11 ...................

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