madslevv madslevv
  • 08-04-2022
  • Mathematics
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Write a recursive formula for a n a n , the n th n th term of the sequence 6 , − 12 , 24 , . . .

Write a recursive formula for a n a n the n th n th term of the sequence 6 12 24 class=

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Аноним Аноним
  • 08-04-2022

Answer:

See below ↓↓

Step-by-step explanation:

a₁ refers to the first term of the sequence.

That is clearly : a₁ = 6

The formula for the nth term is :

  • aₙ = a₁rⁿ⁻¹
  • Common ratio (r) = quotient of consecutive terms
  • r = -12/6 = -2

Therefore, the nth term is :

  • aₙ = 6(-2)ⁿ⁻¹
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