kobbiestagga111 kobbiestagga111
  • 24-08-2020
  • Mathematics
contestada

the fourth term of an arithmetic
progression is one less than twice the
second term If the sixth term is 7,
find the first term​

Respuesta :

mhanifa
mhanifa mhanifa
  • 24-08-2020

Answer:

2

Step-by-step explanation:

Given AP where:

  • a₄ = 2a₂ - 1
  • a₆ = 7

To find

  • a₁ = ?

Since

  • a₄ = a₁ + 3d
  • a₂ = a₁ + d
  • a₆ = a₁ + 5d

Initial equations will change as:

  • a₁ + 3d = 2(a₁ + d) - 1  ⇒  a₁ + 3d = 2a₁ + 2d - 1 ⇒ a₁ = d + 1
  • a₁ + 5d = 7 ⇒ a₁ = 7 - 5d

Comparing the above:

  • d + 1 = 7 - 5d
  • 6d = 6
  • d = 1

Then:

  • a₁ = d + 1 = 1 + 1 = 2
  • a₁ = 2

The first term is 2

Answer Link

Otras preguntas

A stone is thrown vertically upwards with an intinal velocity of 20 m/sec . find the maximum height it reaches and the time by it reachthe height (g=10 m/sec).​
I’ll give out Brainly-ist to the correct one Use your calculator to estimate the value of log740. Click on the correct answer. 1.519 1.896 1.354
An electron in a 3s3s orbital penetrates into the region occupied by core electrons more than electrons in a 3p3p orbital. An electron in a orbital penetrates i
a linear function has the same y-intercept as x + 4y= 8 and its graph contains the point (6,3). what is the y intercept?​
Assignment: The Discriminant Part I: Practice Finding the Discriminant Find the value of the discriminant for each quadratic equation below. Show all steps need
Evaluate b^2c^1 for b=-4 and c= 2.
Kinda been stuck on this one, someone pls let me know
For how long does THC remain in the body after use and where is it stored?
Who taught the first teacher?
Match the expression 2-4 Simplify