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)

Answer Link

Otras preguntas

Solve the inequality 1/2(8+4)=18

this Mexican leader made treaties that hurt his nations economy resulting in revolution

Which statement is true of adolescent cognitive skills? a. Adolescent processing speed slows because of numerous changes in several hormones. b. Metacognitive s

round each number to the place of the underlined digit 0.145 underline number is 4

What organelles contain functioning ATP synthetase complexes in their membranes ?

16. Which method is used to deliver heat in most central heating systems?O conductionO convectionO radiation

Jose y Anita son los _____ de Padro y Roberto

Typical cells range from____in diameter

A manufacturer of matches randomly and independently puts 22 matches in each box of matches produced. The company knows that one-tenth of 5 percent of the match

Find the absolute maximum and minimum values of f on the set D. f(x, y) = x3 − 3x − y3 + 12y + 1, D is quadrilateral whose vertices are (−2, 3), (2, 3), (2, 2)