What do you think it is? What are the Relevant Equations? Is this a question from your schoolwork?Cosmos said:A fair coin is tossed 'n' times. Let a(n) denote the number of cases in which no two heads occur consecutively, then what is the value of a(16)?
Are you saying that you already know the answer?Cosmos said:No...But it involves a good trick (i think) instead of simply rather foolishly counting...
Doing it with a recurrence turns out very nicely.Cosmos said:A fair coin is tossed 'n' times. Let a(n) denote the number of cases in which no two heads occur consecutively, then what is the value of a(16)?
yes my boyphinds said:
My point exactly.mfb said:
I do not appreciate the smarmy answer and if you know the solution then I agree with mfb. What's the point of this thread?Cosmos said:
phinds said:
You don't really expect for there to be do you? I think you've already nailed it.Vanadium 50 said:
I know the 'ANSWER' but i don't know the 'SOLUTION'...mfb said:
...and i do hope for a very good method to get it......Cosmos said:
Nor do I. The OP has earned an infraction for this.phinds said:
sorry sirphinds said:
The purpose of "Play with Coins: Solve a(16)" is to challenge players to solve a mathematical problem involving the arrangement of 16 coins in a specific pattern. It is a fun and interactive way to practice problem-solving skills and learn about mathematical concepts.
To play "Play with Coins: Solve a(16)," you will need 16 coins and a flat surface. Begin by arranging the coins in a specific pattern as instructed in the game. Then, follow the rules of the game to determine the correct number of moves needed to reach the desired outcome.
Yes, "Play with Coins: Solve a(16)" can be enjoyed by people of all ages. It is a great way to introduce children to basic mathematical concepts and can also be a fun challenge for adults.
Yes, you can modify "Play with Coins: Solve a(16)" to make it more challenging by increasing the number of coins or changing the desired outcome. You can also try to solve the problem using fewer moves or within a limited time frame.
Playing "Play with Coins: Solve a(16)" can improve problem-solving skills, critical thinking, and spatial reasoning. It can also help in developing an interest in mathematics and make learning more enjoyable.