erwen73 erwen73
  • 21-12-2021
  • Mathematics
contestada

Write an explicit formula for an, the nth
term of the sequence 75, -15, 3, ....

Respuesta :

mhanifa
mhanifa mhanifa
  • 21-12-2021

Step-by-step explanation:

The sequence is geometric as the ratio between consecutive terms is common:

  • 3/-15 = - 1/5
  • -15/75 = - 1/5

The first term is:

  • t₁ = 75
  • r = - 1/5

The explicit formula is:

  • tₙ = t₁rⁿ⁻¹

Substitute values of the first term and common ratio to get:

  • tₙ = 75*(- 1/5)ⁿ⁻¹
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