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BigorU [14]
3 years ago
13

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

Mathematics
1 answer:
BARSIC [14]3 years ago
4 0

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


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