carringtonmoorp7dvji carringtonmoorp7dvji
  • 12-05-2019
  • Mathematics
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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 12-05-2019

ANSWER

The explicit formula is :

[tex]a_n = 8+ 3(n - 1)[/tex]

EXPLANATION

The given sequence is

8,11,14,17,20,23,26,...

The first term is

[tex]a_1=8[/tex]

The common difference is

d=11-8

d=3

The explicit formula is given by:

[tex]a_n = a_1 + d(n - 1)[/tex]

We substitute the values to get,

[tex]a_n = 8+ 3(n - 1)[/tex]

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