Question

Write a recursive formula for the sequence. 2.3, 2.8, 3.3, 3.8..

Answer 1

see any pattern ?

Answer 2

They're adding .5 to each previous number.

Answer 3

yes

Answer 4

\[\Large \text{Previous Number} + 0.5 = \text{Next Number}\]
\[\Large a_{n-1} + 0.5 = a_{n}\]
\[\Large a_{n} = a_{n-1} + 0.5\]
The \(\Large a_{n}\) is the nth term while \(\Large a_{n-1}\) is the term just before the nth term

Answer 5

Is that the final answer? I'm confused what on what a recursive formula is.

Answer 6

A recursive formula is any formula where you need the previous term to figure out the next term, and then the next term after that, etc etc.

Contrast that with a closed explicit formula which allows you to find any term you want without needing to know the term before it

Answer 7

http://www.regentsprep.org/regents/math/algtrig/atp3/recursive.htm

Answer 8

Thank you!

Answer 9

np