How do you find the first five terms of the sequence a_1=3, a_(n+1)=2a_n−1?

Jazmyn Pugh 2022-09-21 Answered
How do you find the first five terms of the sequence a 1 = 3 , a n + 1 = 2 a n - 1 ?
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Answers (1)

Jamari Morgan
Answered 2022-09-22 Author has 10 answers
a n + 1 = 2 a n - 1
So if a n = 3 then a n + 1 =. 2 x 3 - 1. = 5

an+1 is the next term in the sequence after an
And a n = 5 then a n + 1 =. 2 x 5 - 1 = 9
a n = 9 then a n + 1 =2 x 9 - 1 = 17
And the next term 2 x 17 - 1 = 33

The sequence increases by powers of 2!
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