Respuesta :

233 is in the sequence. 233 is the 78th term of the sequence.

How to find the equation of an arithmetic sequence?

The equation of an arithmetic sequence can be represented as follows;

tₙ = a + (n  -1)d

where

  • a = first term
  • d = common difference
  • n = number of terms

Therefore,

a = 2

d = 5 - 2 = 3

Hence,

tₙ = 2 + (n  -1)3

tₙ = 2 + 3n - 3

233 = 3n  - 1

233 + 1 = 3n

n = 234 / 3

n = 78

Hence, 233 is in the sequence.

learn more on arithmetic sequence here: brainly.com/question/18269451

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