alanakhan1914 alanakhan1914
  • 21-04-2022
  • Mathematics
contestada

Find the twenty-fourth term of the arithmetic sequence whose eighteenth term is 42, and whose twenty-fifth term is 56.

Respuesta :

Аноним Аноним
  • 21-04-2022

Answer:

54

Step-by-step explanation:

Given

  • a₁₈ = 42
  • a₂₅ = 56

Solving

  • a₁₈ = a + 17d = 42 (1)
  • a₂₅ = a + 24d = 56 (2)
  • (2) - (1)
  • a + 24d - a - 17d = 56 - 42
  • 7d = 14
  • d = 2
  • a = 56 - 24(2) = 56 - 48
  • a = 8

Finding a₂₄

  • a₂₄ = a + 23d
  • 8 + 23(2)
  • 8 + 46
  • 54
Answer Link

Otras preguntas

What are some similarities between prokaryotic and eukaryotic cells?
Which of the following nations would have entered World War l if the Zimmerman Telegram plot had succeeded? A.serbia B.spain C.switzerland D.mexico
Which researcher believed that social interaction is the basis of language acquisition and development?
Find the surface area for the given given prism
What is the sales tax of 5% on a purchase of $7.82?
top- down processing can be best described as:
25 POINTS!! PLEASE HELP! Write the point-slope form of the line that passes through the points (-2, 1) and (0, 1). Identify (x1, y1) as (-2, 1). Use the box pro
U=<6,4>,v=<7,5> Find the angle between the given vectors to the nearest tenth of a degree
A spinner is divided in 12 congruent sections number 1 through 12.If Eleanor spins the spinner once,what is the probability that it will land on a multiple of 5
If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?