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

Jazmyn Pugh

Jazmyn Pugh

Answered question

2022-09-21

How do you find the first five terms of the sequence a 1 = 3 , a n + 1 = 2 a n - 1 ?

Answer & Explanation

Jamari Morgan

Jamari Morgan

Beginner2022-09-22Added 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!

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?