Maths Question: Is it possible to find the nth term for this sequence?
I was watching a Maths video on YouTube recently that explained how you work out the nth term in a sequence and a question occurred to me.
Here is a type of sequence:
Pick first number
and add the number of letters in that number to it;
add the number of letters in your resulting number;
add the number of letters in your resulting number etcetera
Lets pick 4 as a first number.
Four has 4 letters in it (F-O-U-R) so add 4 to 4
and you get eight which has 5 letters (E-I-G-H-T) so add 5 to 8
and you get thirteen which has eight letters so add 8 to 13
which gives you 21 etcetera
My question is: Is it possible to find the nth term for this kind of sequence?