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

User Lfzawacki
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n = 15

the nth term of an arithmetic sequence is
a_(n) = a₁ + (n-1)d

where d is the common difference

d = a₂ - a₁ = 6 - 2 = 4


a_(n) = 2 + 4n - 4 = 58

4n - 2 = 58

4n = 60 ( divide both sides by 4 )

n = 15


User DrakeMurdoch
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