MontanaI553938 MontanaI553938
  • 25-10-2022
  • Mathematics
contestada

Find the common difference of the arithmetic sequence 5,14,23

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LorrainaH487923 LorrainaH487923
  • 25-10-2022

The Solution.

The given sequence is

[tex]5,14,23[/tex]

The common difference of the arithmetic sequence is given by the formula below:

[tex]\text{common difference(d)=T}_2-T_1=T_3-T_2[/tex]

In this case,

[tex]T_1=5,T_2=14,T_3=23[/tex]

Substituting these values in the formula above, we get

[tex]\begin{gathered} \text{common difference = 14-5=23-14}=9 \\ \text{common difference}=9 \end{gathered}[/tex]

So,the correct answer is 9.

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