Question

Write a recursive rule for the sequence. Assume it starts with the 1st term. 10, 14, 18, 21...

Answer 1

Option D is correct. The correct option for the recursive formula is $f(0) =6;f(n)=f(n - 1)+4$

Given the sequence 10, 14, 18...

The first term is 10, hence

a1 = 10

The previous terms will be $a_{n-1}$

From the sequence, we can see that 4 is being added to the previous term to get the next term. Hence the nth term will be expressed as:

$a_n = a_{n-1} + 4$

Get the term before the first term $a_0$

If n = 1

$a_1 = a_{1-1} + 4\\a_1 = a_{0} + 4\\a_0=a_1-4\\a_0=10-4\\a_0=6$

Hence the correct option for the recursive formula is $f(0) =6;f(n)=f(n - 1)+4$

Learn more here: brainly.com/question/18233843