MakynleeE495830 MakynleeE495830
  • 28-10-2022
  • Mathematics
contestada

name the rule and list the next three terms in the pattern 10, 18, 26, 34, 42

Respuesta :

TallenI789722 TallenI789722
  • 28-10-2022

Given the following sequence:

[tex]10,\text{ 18, 26, 34, 42}[/tex]

Observing the given sequence, it appears that the common difference between its two consecutive terms is 8.

42 - 34 = 8

34 - 26 = 8

26 - 18 = 8

18 - 10 = 8

Therefore, we can say that the sequence is Arithmetic and the rule is:

[tex]\text{ A}_n=A_1\text{ + (n - 1)d}[/tex][tex]\text{ A}_n=10\text{ + (n - 1)(8)}[/tex]

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