srhoward1109 srhoward1109
  • 11-12-2020
  • Mathematics
contestada

Write the next three terms of the arithmetic sequence 1,12,23,34

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 12-12-2020

9514 1404 393

Answer:

  45, 56, 67

Step-by-step explanation:

Terms of an arithmetic sequence have a common difference. That is, the next term is found by adding that difference to the previous term.

Here, the difference is 12 -1 = 11, so each term is 11 more that the previous one. The next terms are found by repeatedly adding 11.

  34 + 11 = 45

  45 + 11 = 56

  56 + 11 = 67

The next three terms are 45, 56, 67.

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