amanda22nicole amanda22nicole
  • 13-05-2022
  • Mathematics
contestada

find x so that x+3, 2x+1, and 5x+2 are consecutive terms of an arithmetic sequence

Respuesta :

jsimpson11000 jsimpson11000
  • 13-05-2022

Answer:

x = -3/2

Step-by-step explanation:

x + 3 + d  = 2x + 1              First term plus common difference = 2nd term

x -2 = d

x + 3 + 2d = 5x+2              First term + 2 d = third term    re-arrange:

4x-1 = 2d                            sub in the definition of d from above

4x -1 = 2 (x-2)

4x-1 = 2x-4

2x = -3

x = -3/2

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