Find the recursive formula for this sequence: 100,160, 226, 298.6,..

Cory Russell

Cory Russell

Answered question

2022-10-23

Find the recursive formula for this sequence: 100,160, 226, 298.6,..

Answer & Explanation

Cavalascamq

Cavalascamq

Beginner2022-10-24Added 21 answers

Letting a 1 = 100 ; a 2 = 160 , the recursive formula works out as follows:
a 3 = a 2 + ( a 2 - a 1 ) + a 2 - a 1 10 = 21 10 a 2 - 11 10 a 1
a 4 = a 3 + ( a 3 - a 2 ) + a 3 - a 2 10 = 21 10 a 3 - 11 10 a 2
and in general
a n + 1 = 21 10 a n - 11 10 a n - 1 for n>=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?