Answered

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Find the 4th term in the sequencewith the following definition:aj = 0an = 2(an-1-3)

Find The 4th Term In The Sequencewith The Following Definitionaj 0an 2an13 class=

Sagot :

Answer:

-60

Explanation:

To find the 4th term we need to also find the 2nd and 3rd terms as follows:

[tex]\begin{gathered} a_n=2(a_{n-1}-3) \\ a_2=2(a_{2-1}-3) \\ a_2=2(a_1-3) \\ a_2=2(0-3) \\ a_2=2(-3) \\ a_2=-6 \end{gathered}[/tex][tex]\begin{gathered} a_3=2(a_{_2}-3) \\ a_3=2(-6-3) \\ a_3=3(-9) \\ a_3=-27 \end{gathered}[/tex]

Finally, we can calculate the value of the 4th term as:

[tex]\begin{gathered} a_4=2(a_3-3) \\ a_4=2(-27-3) \\ a_4=2(-30) \\ a_4=-60 \end{gathered}[/tex]

So, the answer is -60

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