Question

Determine a rule for generating the terms of the sequence that begins 2, 3, 3, 5, 10, 133 39,43, 172, 177, 885, 891. ..., and find the next four terms of the sequence.

Short answer

Let $a_1=1$;$a_{2n+1}=n.a_{2n}$ for all $n>0$.

$a_{2n}=n+a_{2n-1}$for all $n>0$.

The next four terms are 5346, 5353, 37471, and 37479.

Step-by-step solution

Step: 1

Let$a_1=1$ ;$a_{2n+1}=n.a_{2n}$ for all $n>0$.

role="math" localid="1668656014374" $a_{2n}=n+a_{2n-1}$for all $n>0$.

Step: 2

The next four terms are 5346, 5353, 37471, and 37479.