Question

What is the recursive formula for the sequence? 10, 14, 18, 22, 26

Answer 1

add 4 each time
the nth term is
`a_n` or f(n)
the next term after that is
`a_(n+1)` or f(n+1)

so each term is 4 more than previous
basically

`a_(n+1)=4+a_n` or
f(n+1)=4+f(n)
same thing

Answer 2

We have an arithmetic sequence with common difference of 4; then, d = 4 and a1 = 4;
We have the formula an = a1 + (n-1)xd;
Finally, an = 10 + (n-1)x4 = 4n + 6;