SHEIFUSHEINI
SHEIFUSHEINI SHEIFUSHEINI
  • 17-08-2020
  • Mathematics
contestada

the first three terms of an arithmetic progression is (x + 1), (4 x - 2) and 6 x - 3 if the last term is 18 find the value of x​

Respuesta :

mhanifa
mhanifa mhanifa
  • 17-08-2020

Answer:

2

Step-by-step explanation:

Since it is AP, the common difference is same for any term:

  • (4x - 2) - (x + 1) = (6x - 3) - (4x - 2)
  • 3x - 3 = 2x -1
  • 3x - 2x = 3 - 1
  • x= 2

The first 3 terms are:

  • 3, 6, 9

Since the last term is 18, it means this AP has 6 terms:

  • {3, 6, 9, 12, 15, 18}

Answer: as we need to find the value of x only, it is = 2

Answer Link

Otras preguntas

A scientist tested Charles’s law, which states that volume is directly related to temperature. Assume constant pressure. What will the scientist observe? A) as
How did the barbadians affect south carolina
A mine extracts 2 tons of ore in an hour. Of the total ore extracted in a day, 4 tons is purchased by the government and more than 10 tons is sold to a mineral
All of the following are positive strategies for improving self-esteem EXCEPT: A. choosing good friends B. improving self-image C. strengthening integrity D. ch
A field whose data type is ____ can contain any characters.
in animals the process which results in haploid gametes is known as
What is 61,200,000 in scientific notation?
Identify the nuclide produced when carbon-14 decays by beta emission: 14 6c? 0?1e ?
Which of the following modifications to the list of assets and liabilities below would result in a positive net worth? Home owned $105,000. Mortgage owed $100,0
which word characterizes the setting of the rockpile by james baldwin friendly unusual neighborly violent