savannah3324 savannah3324
  • 24-01-2022
  • Mathematics
contestada

134, 108, 82, 56, ...
Recursive Rule
Explicit Rule

Respuesta :

mhanifa
mhanifa mhanifa
  • 24-01-2022

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
Answer Link

Otras preguntas

what did the early atomic theory accomplish? A. Its established the idea that matter cannot be created or destroyed. B. It provided an accurate description of
It takes 4 pounds of apples to make 6 cups of applesauce. At this rate, how much applesauce can you make with 7 pounds of apples?
Gavin loves biking. He wants to set a new score by riding 65 miles in four days. Each day he wants to ride 1.5 times as far as the day before. X is how much he
helpppppp meeeeeee pleaseeeeeeeeee
Cells spend the longest amount of time in Interphase to prepare for cell division. True False
whats the square root of 7
Is 5 a reasonable answer for |2x+7|=x+3?
What is the value of x if cos⁡x=3/5 *
8. The began to whimper when he could not get a treat. What is the definition of the word whimper? (10 Points) to let out a loud bark to have a friendly convers
Your solution has a volume of 36 ml and a mass of 970 g. what is the density of your solution