vg980673
vg980673 vg980673
  • 15-12-2021
  • Mathematics
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Find the an and a10, in the arithmetic sequence

Find the an and a10 in the arithmetic sequence class=

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loneguy
loneguy loneguy
  • 15-12-2021

[tex]\text{First term, a = 10}\\\\\text{Common difference,}~ d = 0-10 =-10\\\\\\\text{Nth term,}~ a_n = a+(n-1)d\\\\~~~~~~~~~~~~~~~~~~= 10+(n-1)(-10)\\\\~~~~~~~~~~~~~~~~~~= 10-10n+10\\\\~~~~~~~~~~~~~~~~~~= 20-10n\\\\\text{10th term} ,~ a_{10} = 20 -10(10) = 20 -100=-80[/tex]

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