The pattern of numbers below is an arithmetic sequence:

14, 24, 34, 44, 54, ...

Which statement describes the recursive function used to generate the sequence?

The common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14.
The common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10.
The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14.
The common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10.

Question

The pattern of numbers below is an arithmetic sequence:

14, 24, 34, 44, 54, ...

Which statement describes the recursive function used to generate the sequence?

The common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14.
The common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10.
The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14.
The common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10.

jhannybean · Answer

I'd say find the difference, and that will lead you to your answer.

jhannybean · Answer

to find the difference, $d$, just subtract the preceding term by the one before it.$$24 - 14 =~?$$$$43-24 = ~?$$$$44-34=~?$$ etc...