Question

Find a recurrence relation for the number of ways to climb n stairs if the person...

Find a recurrence relation for the number of ways to climb n stairs if the person climbing the stairs can take 1, 2, or 3 stairs at a time.

What are the initial conditions? Compute the number of ways to climb 10 stairs in this way

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
When climbing a staircase, you can take either one or three stairs in a single step....
When climbing a staircase, you can take either one or three stairs in a single step. (a) Write “Let Sn be the number of ways to climb a staircase with n stairs.” Prove the recurrence relation Sn = Sn-1 + Sn-3. (b) Write down what S0, S1, S2 are (or alternatively, what S1, S2, S3 are). No justification needed. (c) Use (a) and (b) to answer the following question. How many ways are there to climb a staircase with 12...
(a) Find a recurrence relation for the number of bit strings of length n that contain...
(a) Find a recurrence relation for the number of bit strings of length n that contain the substring 10. (b) What are the initial conditions? (c) How many bit strings of length seven (i.e. a7) contain the substring 10?
3))Find a recurrence relation for the number of ternary strings of length ? ≥ 1 that...
3))Find a recurrence relation for the number of ternary strings of length ? ≥ 1 that contain at least two 0s. What are the initial conditions?
A) Find a recurrence relation for the number of bit strings of length ? ≥ 1...
A) Find a recurrence relation for the number of bit strings of length ? ≥ 1 that do not contain four consecutive zeros. What are the initial conditions?
find a recurrence relation for the number of ways ndigit binary sequence that has at-least 1...
find a recurrence relation for the number of ways ndigit binary sequence that has at-least 1 instance of 2 consecutive zeros
Find a recurrence relation for the number of bit sequences of length n with an even...
Find a recurrence relation for the number of bit sequences of length n with an even number of 0s. please give me an initial case. + (my question) Let An is denote the number of bit sequences of length n with an even number of 0s. A(1) = 1 because of "0" not "1"? A(2) = 2 but why? why only "11" and "00" are acceptable for this problem? "11,01,10,00" doesn't make sense?
Find a recurrence relation for the number of ways to pair off 2n people for tennis...
Find a recurrence relation for the number of ways to pair off 2n people for tennis matchs.
Let hn be the number of ways to cover a 1 × n board using only...
Let hn be the number of ways to cover a 1 × n board using only 1 × 1 tiles, red or blue 3 × 1 tiles, red, blue, or green 4 × 1 tiles, and 5 × 1 tiles. Find a recurrence relation for hn along with enough enough initial conditions to allow one to compute the entire sequence.
Solve the recurrence relation an = 8an−1 − 16an−2 (n ≥ 2) with the initial conditions...
Solve the recurrence relation an = 8an−1 − 16an−2 (n ≥ 2) with the initial conditions a0 = 3 and a1 = 14. Show all your work.
2. Find a system of recurrence relations for the number of n-digit quaternary sequences that contain...
2. Find a system of recurrence relations for the number of n-digit quaternary sequences that contain an even number of 2’s and an odd number of 3’s. Define the initial conditions for the system. (A quaternary digit is either a 0, 1, 2 or 3)