sarahphann sarahphann
  • 06-10-2018
  • Mathematics
contestada

the first , second, and the nth terms of an arithmetic sequence are 2,6, and 58 respectively find the value of n

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jimrgrant1 jimrgrant1
  • 06-10-2018

n = 15

the nth term of an arithmetic sequence is [tex]a_{n}[/tex] = a₁ + (n-1)d

where d is the common difference

d = a₂ - a₁ = 6 - 2 = 4

[tex]a_{n}[/tex] = 2 + 4n - 4 = 58

4n - 2 = 58

4n = 60 ( divide both sides by 4 )

n = 15


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