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SVETLANKA909090 [29]
3 years ago
13

Write an equation for the nth term of the arithmetic sequence. 2, 5, 8, 11, ...

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

Answer:

An equation for the nth term of the arithmetic sequence.

a_n=3n-1

Step-by-step explanation:

Given the sequence

2,5,8,11,...

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

here

  • a₁ = 2

computing the differences of all the adjacent terms

  • d = 5-2 = 3, d = 8-5=3, d=11-8=3

Using the nth term formula

a_n=a_1+\left(n-1\right)d

substituting a₁ = 2, d = 3

a_n=2+\left(n-1\right)3

     =2+3n-3

     =3n-1

Thus, an equation for the nth term of the arithmetic sequence.

a_n=3n-1

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