anonymous
  • anonymous
Which of the following recursive formulas represent the same arithmetic sequence as the explicit formula an=5+(n-1)2?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
where r the options?
amoodarya
  • amoodarya
to find choice find \[a_n-a_{n-1}\]
anonymous
  • anonymous
(An-1+5)•2 An=an-1•5 An=an-1+5 An=an-1+2

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More answers

welshfella
  • welshfella
the common difference is 2 each term is obtained from the last by adding 2
welshfella
  • welshfella
which of the options will fit that?
anonymous
  • anonymous
a?
amoodarya
  • amoodarya
\[a_n=5+2(n-1)\\a_{n-1}=5+2((n-1)-1)=5+2(n-2)\\a_n-a_{n-1}=\left[ 5+2(n-1) \right]-\left[ 5+2(n-2) \right]=\\5-5+2(n-1-(n-2))\\a_n-a_{n-1}=2\]
welshfella
  • welshfella
no not a
anonymous
  • anonymous
Oh! I thinks it's b!
welshfella
  • welshfella
i think you are guessing the first term is 5 and the second is 7 put an = 7 and an-1 = 5 and see which of the options fit
anonymous
  • anonymous
An-1=5
welshfella
  • welshfella
try option b An = 7 An-1 * 5 = 5*5 = 27 that does not fit
welshfella
  • welshfella
now try c and d

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