Home / Expert Answers / Advanced Math / 3-let-fn-be-the-number-of-binary-sequences-sequences-of-ones-and-zeros-of-length-n-for-exam-pa453

(Solved): 3. Let Fn be the number of binary sequences (sequences of ones and zeros) of length n (for exam ...



3. Let \( F_{n} \) be the number of binary sequences (sequences of ones and zeros) of length \( n \) (for example 1101 is a b

3. Let be the number of binary sequences (sequences of ones and zeros) of length (for example 1101 is a binary sequence of length 4). There is a unique sequence of length 0 , the empty sequence. Also having a binary sequence of length we can obtain one binary sequence of length by adding either a trailing 0 or 1 , so there is always twice as much binary sequences of length than binary sequences of length , i.e., . Guess a closed formula for and prove that the formula is correct using induction. Find a direct proof (without induction) for the closed formula for of Problem 3 . [Hint: use the multiplication principle]


We have an Answer from Expert

View Expert Answer

Expert Answer


Q. 3Answer. There are actually eight three-digit binary numbers, since each position can get two values, hence 2×2×2=8. Your list misses 010.10 is the
We have an Answer from Expert

Buy This Answer $5

Place Order

We Provide Services Across The Globe