heavenchandler09 heavenchandler09
  • 06-07-2020
  • Mathematics
contestada

What is the explicit formula for this sequence ? -9,-3,3,9,15,...

What is the explicit formula for this sequence 933915 class=

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unicorn3125
unicorn3125 unicorn3125
  • 16-07-2020

Answer:

             [tex]B.\ \ a_n=(-9)+(n-1)6[/tex]  

Step-by-step explanation:

[tex]a_1=-9\,,\ a_2=-3\,,\ a_3=3\,,\ a_4=9\,,\ a_5=15...\implies d=6[/tex]

{-9-(-3)=6 and 3-(-3)=6 and 9-3=6 and 15-9=6}

An arithmetic sequence is:   [tex]a_n=a_1+(n-1)d[/tex]

[tex]a_1=-9\quad and\quad d=6[/tex]

[tex]a_n=-9+(n-1)\cdot6[/tex]

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