what’s the explicit formula for 5,10,15,20,25,30

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what’s the explicit formula for 5,10,15,20,25,30

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Thiên Di 1 year 2021-09-04T22:54:40+00:00 1 Answers 0 views 0

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  1. ngockhue
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    2021-09-04T22:56:13+00:00
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    Answer:

    [tex]a_{n}[/tex] = 5n

    Step-by-step explanation:

    There is a common difference d between consecutive terms

    d = 10 – 5 = 15 – 10 = 20 – 15 = 25 – 20 = 30 – 25 = 5

    This indicates the sequence is arithmetic with explicit formula

    [tex]a_{n}[/tex] = a₁ + (n – 1)d

    where a₁ is the first term and d the common difference

    Here a₁ = 5 and d = 5 , then

    [tex]a_{n}[/tex] = 5 + 5(n – 1) = 5 + 5n – 5 = 5n

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