ZaidahC707949 ZaidahC707949

03-11-2022
Mathematics

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Find the 5and term of the arithmetic sequence 5, 9, 13,

Find the 5and term of the arithmetic sequence 5 9 13 class=

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AmisaA52629 AmisaA52629

03-11-2022

Notice that:

[tex]\begin{gathered} 9-5=4, \\ 13-9=4. \end{gathered}[/tex]

Since the sequence is arithmetic then, the nth term has the following form:

[tex]a_n=5+4\cdot(n-1)\text{.}[/tex]

Therefore:

[tex]a_{52}=5+4(51)=5+204=209.[/tex]

Answer: 209.

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