anonymous
  • anonymous
The simple formula for the nth term of an arithmetic sequence is an = 6n + 14. What is the explicit formula corresponding to the simple formula? A. an = 20 + (n - 1)(6) B. an = 14 + (n - 1)(6) C. an = 14 + 6n D. an = 20 + (n)(6) E. an = 6 + (n - 1)(14)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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amoodarya
  • amoodarya
put n=1 to find first term \[n=1 \rightarrow a_n=a_1=6(1)+14=20\\a_n=a_1+(n-1)d\] now find d \[d=a_2-a_1\\a_2=2(6)+14=26\\a_1=20\\a_2-a_1=d=26-20=6\]
amoodarya
  • amoodarya
can you go on ?
anonymous
  • anonymous
its e

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amoodarya
  • amoodarya
\[a_n=a_1+(n-1)d \]
amoodarya
  • amoodarya
try again !
anonymous
  • anonymous
its not a or b
anonymous
  • anonymous
so its d
amoodarya
  • amoodarya
a1=20 d=6 now an =? write it by yourself do not see choices
amoodarya
  • amoodarya
\[a_n=a_1+(n-1)d=\\a_n=20+(n-1)6\]

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