Question

What is the recursive formula for this sequence? 14,18,22,26,30...

Answer 1

If we will analyze this sequence, we will notice that:

• The sequence started by 14. So, the first term (
  `a_1`) is 14.

• From 14 to 18 we add 4. From 18 to 22 we add 4. This standard repeats itself infinitely. The next term is equals the last term plus 4.

So,

`\boxed{\left \{ {{a_1=14} \atop {a_n=a_(n-1)+4}} \right.}`

Therefore, the correct option is letter C.

Answer 2

an = an-1 +4

a1 = 14

Explanation:

The recursive formula is

an = an-1 +d where d is the common difference

a1 = initial term

a1 = 14

d = the difference between the terms

Take the second term and subtract the first term

18-4 = 4

That is the common difference

an = an-1 +4

a1 = 14