anonymous
  • anonymous
An arithmetic sequence has the terms a6=53 and a8=61 A. What is the value of d? Whats the value of a1? B. What is the explicit formula? Thanks so much and could you maybe explain? :D
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@Nnesha could you maybe possibly help? :3
Nnesha
  • Nnesha
you! ready ??
Nnesha
  • Nnesha
this is the formula for arithmetic sequence \[\huge\rm a_n = a_1 +(n-1)d\] n= number of the terms we need a_1 = first term d= common difference

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Nnesha
  • Nnesha
a_6 = 6th term =53 a_8 = 8th term = 61 so \[\rm when~~n=6~~~,a_n=a_6 =53\] i'm going to replace n with 6 and a_6 with 53 \[\huge\rm a_\color{reD}{n} = a_1 +(\color{red}{n}-1)d\]\[\large\rm a_\color{reD}{6} = a_1 +(\color{red}{6}-1)d\]\[\large\rm \color{reD}{53} = a_1 +(\color{red}{5})d\] ^^^first equation
Nnesha
  • Nnesha
now write 2nd equation when a_8 = 61 and then subtract both e quations
anonymous
  • anonymous
ahh im sorry! i didn't know you came back on!! thanks so much tho !! :D
Nnesha
  • Nnesha
it's okay can you write 2nd equation give it a try

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