Refer to the iterated function system based on the function $f ( n )$ = the sum of the squares of the digits of n text to solve the questions:
-If the first term of the sequence is 211, what is the fourth term?

Question

Refer to the iterated function system based on the function $f ( n )$ =  the sum of the squares of the digits of n text to solve the questions: 
-If the first term of the sequence is 211, what is the fourth term?

Quizplus · Accepted Answer

We use the given function to find the next terms in the sequence.

f(211) = 2^2 + 1^2 + 1^2 = 6
f(6) = 6^2 = 36
f(36) = 3^2 + 6^2 = 45
f(45) = 4^2 + 5^2 = 41

Therefore, the fourth term is 41 which corresponds to choice B. However, this question asks for the best choice and we notice that choice C (45) is also a term in the sequence. This means that if there was a mistake in our calculations, choice C could also potentially be correct. Hence, the best choice(s) is C.

Refer to the Iterated Function System Based on the Function f(n)f ( n )f(n)

Refer to the Iterated Function System Based on the Function $f ( n )$