A sequence defined by a rule from earlier terms is a recurrence. The Fibonacci numbers are the classic: each is the sum of the previous two. Many recurrences have a closed form, for Fibonacci it involves the golden ratio, but computing them term by term is often the clearest path.
ਕੰਮ ਉਦਾਹਰਨ · fib(20)
ਕਦਮ ਦਰ ਕਦਮ
- F_0 = 0,; F_1 = 1
Each Fibonacci number is the sum of the two before it.
- F_{2} = F_{1} + F_{0} = 1
- F_{3} = F_{2} + F_{1} = 2
- F_{4} = F_{3} + F_{2} = 3
- F_{5} = F_{4} + F_{3} = 5
- F_{6} = F_{5} + F_{4} = 8
- F_{7} = F_{6} + F_{5} = 13
- F_{8} = F_{7} + F_{6} = 21
- \vdots
- F_{19} = F_{18} + F_{17} = 4181
- F_{20} = F_{19} + F_{18} = 6765
ਜਵਾਬ ਦਿਓ
ਹੁਣ ਤੁਸੀਂ ਇੱਕ ਸਮੱਸਿਆ ਚੁਣੋ, ਜਾਂ ਆਪਣਾ ਆਪ ਲਿਖੋ ਜਾਂ ਖਿੱਚੋ। ਹਰ ਕਦਮ, ਇੱਕ ਤਸਵੀਰ, ਜਵਾਬ ਜਦੋਂ ਤੱਕ ਤੁਸੀਂ ਪੁੱਛਦੇ ਹੋ, ਲੁਕਿਆ ਰਹਿੰਦਾ ਹੈ।
ਇੱਥੇ ਵਰਤੇ ਨਿਸ਼ਾਨ
ਕਿਸੇ ਵੀ ਨਿਸ਼ਾਨ ਨੂੰ ਦਬਾਉ, ਜਿਸ ਵਿੱਚ ਪੂਰੀ ਪਰਿਭਾਸ਼ਾ, ਇੱਕ ਤਸਵੀਰ ਅਤੇ ਹਰ ਅੱਖਰ ਦਾ ਅਰਥ ਹੈ ।
ਕਿਵੇਂ: Sequences
- Each Fibonacci number is the sum of the two before it.
ਲੋਕ ਪੁੱਛਦੇ ਹਨ
Why are primes so important?
Every integer factors into primes in exactly one way, so primes are the atoms of multiplication. Cryptography relies on that factoring being easy to state and hard to do.
How do I tell whether a big number is prime?
Trial division up to the square root works for small numbers. For large ones, probabilistic tests (Miller-Rabin) give an answer that is wrong with negligible probability, and deterministic tests (AKS) exist but are slower.
ਹੋਰ ਵਿੱਚ Number Theory
Prime factorisationPrime numbersGCD and LCMModular arithmeticDivisorsNumber basesDiophantine equationsFermat's little theorem and Euler's theoremRSA: cryptography from number theory