Respuesta :

mhanifa

Answer:

  • -25, 4, 33, 62, 91, 120, ...

Step-by-step explanation:

Given

The arithmetic sequence

  • .. , 4, ?, ?, ?, 120, ...

To find:

  • Missing terms

Solution

Let the first term a₁ = x, and common difference = d then we have:

  • a₁ = x
  • a₂ = x + d = 4
  • ...
  • a₆ = x + 5d = 120

The difference of the 6th and  2nd terms:

  • a₆ - a₂ =
  • a + 5d - x - d = 120 - 4
  • 4d = 116
  • d = 116/4
  • d = 29

Then we get the first term and other missing terms:

  • x = 4 - 29 = -25
  • a₁ = -25

-25, 4, 4+29 = 33, 33+29 = 62, 62 + 29= 91, 91+29 = 120, ...