DevaunD129463 DevaunD129463
  • 03-11-2022
  • Mathematics
contestada

write a recursive rule for the sequence -10,-3,4,11

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DyronO276983 DyronO276983
  • 03-11-2022

Let the given sequence is -10,-3,4,11

The objective is to write recursive rule for the sequence.

In the given sequence each number has an equal difference between them

[tex]\begin{gathered} -3-(-10)=7 \\ 4-(-3)=7 \\ 11-4=7 \end{gathered}[/tex]

So, consider the terms as,

[tex]\begin{gathered} a_1=-10 \\ a_2=-3 \\ a_2=a_1+7 \\ a_3=a_2+7 \\ a_4=a_3+7 \end{gathered}[/tex]

Hence the recursive series is

[tex]a_n=a_{n-1}+d[/tex]

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