Find the explicit formula for the following sequence 2, 4, 6, 8,...

Slovenujozk

Slovenujozk

Answered question

2022-09-14

Find the explicit formula for the following sequence 2, 4, 6, 8,...

Answer & Explanation

altistkahem

altistkahem

Beginner2022-09-15Added 15 answers

Each term is 2 greater than the term before it. Thus for any given term, a n , our equation is:
a n = 2 n
We can write this in a form closer to standard, by noting that a 1 = 2 , so we can make it dependent on a 1 ..
a n = a 1 + 2 ( n - 1 ) = 2 + 2 ( n - 1 )

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