austinbrewer382 austinbrewer382

10-09-2021
Mathematics

contestada

Given the arithmetic sequence with the following two
terms, write the explicit rule.
a_5 = 25 and a_11 = 85

Respuesta :

lynnkc2000 lynnkc2000

10-09-2021

Answer:

aₙ = -15 + 10 * (n-1)

Step-by-step explanation:

aₙ = a₁ + (n-1)*d a₁: first term d: common difference

a₅ a₁ + 4d =25 .... (1)

a₁₁ a₁ + 10d = 85 ...(2)

(2) - (1) 6d = 60

d = 10

a₁ = -15

Formula: aₙ = -15 + 10 * (n-1)

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