Respuesta :

mhanifa

Answer:

  • a) a₁ = 134, aₙ = aₙ₋₁ - 26
  • b) aₙ = 160 - 26n

Step-by-step explanation:

Given sequence:

  • 134, 108, 82, 56, ...

This is an AP since the difference of terms is common:

  • d = 56 - 82 = 82 - 108 = 108 - 134 = - 26

The first term is:

  • a₁ = 134

Recursive formula for this sequence is:

  • a₁ = 134, aₙ = aₙ₋₁ - 26

The explicit formula is:

  • aₙ = a₁ + (n - 1)d

Substitute the values to get:

  • aₙ = 134 + (n - 1)(- 26) = 134 - 26n + 26 = 160 - 26n