Question

Determine a rule for generating the terms of the sequence that begins 1, 3, 4,8,15,27,50,92,... and find the next four terms of the sequence.

Short answer

Let$a_1=1$ ;

$a_n=a_{n-1}+a_{n-2}+\dots a_{n-(n-1)}$for all $n>0$.

The next four terms are 169, 311, 572 and 1052

Step-by-step solution

Step: 1

Let$a_1=1$ ;

role="math" localid="1668655784633" $a_n=a_{n-1}+a_{n-2}+\dots a_{n-(n-1)}$for all $n>0$.

Step: 2

The next four terms are 169, 311, 572 and 1052