What rule can be used to find the next term of the arithmetic sequence? 39, 60, 81, 102, 123, . .
A.an = an–1 – 39
B.an = an–1 – 21
C.an = an–1 + 21
D.an = an–1 + 39

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Answer:

the second answer on the assignment is 144

Step-by-step explanation:

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The rule that can be used to find the next term of the arithmetic sequence, 39, 60, 81, 102, 123 is as follows aₙ = a + (n - 1)d

What is arithmetic sequence?

Arithmetic sequence are sequence where each term increases by adding/subtracting some constant a.

Therefore, the formula can be represented as follows;

aₙ = a + (n - 1)d

where

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

Therefore, the 6th term of the sequence can be found as follows;

a = 39

d = 60 - 39 = 21

Hence,

a₆ = 39 + (6 - 1)d

a₆ = 39 + 5(21)

a₆ = 39 + 105

a₆ = 144

The rule to find the next term of the sequence is aₙ = a + (n - 1)d

learn more on arithmetic sequence here: https://brainly.com/question/2253972

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