Answered

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If the first term in a sequence is 5 and the common difference is 3… write the explicit formula

Sagot :

Answer:

[tex]a_{n}[/tex] = 3n + 2

Step-by-step explanation:

The nth term( explicit formula ) of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 3 , then

[tex]a_{n}[/tex] = 5 + 3(n - 1) = 5 + 3n - 3 = 3n + 2

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