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What is the Fibonacci sequence, presented in 1202 in this problem: "A certain man put a pair of rabbits in a place surrounded on all sides by a wall. How many pairs of rabbits can be produced from that pair in a year if it is supposed that every month each pair begets a new pair which from the second month on becomes productive?"

What is the Fibonacci sequence, presented in 1202 in this problem: "A certain man put a pair of rabbits in a place surrounded on all sides by a wall. How many pairs of rabbits can be produced from that pair in a year if it is supposed that every month each pair begets a new pair which from the second month on becomes productive?" Correct Answer 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, …

Fibonacci, also called Leonardo Pisano, is known to modern mathematicians mainly because of the sequence derived from a problem in his Liber abaci (“Book of the Abacus”): 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 (Fibonacci himself omitted the first term), in which each number is the sum of the two preceding numbers. Called the Fibonacci sequence, it was the first recursive number sequence known in Europe.

Related Questions

Some small cubes of same height 7 cm but variable length and width are put inside a large cuboid of height 21 cm. Length and width of cuboid is 32 cm and 24 cm, respectively. Small cubes are put such that cubes at the bottom most layer is of similar base area; second layer contains all the cubes of similar base area and third layer have all the cubes of similar base area. Which of the following statement(s) given below is / are TRUE? A: If side of each small cubes at bottom most layer is 8 cm, then maximum number of small cubes that can be put at bottom most layer is 12. B: If maximum of 48 cubes can be put at second layer, then side of each cube at second layer is 6 cm. C: If side of each small cubes at third layer is 1.6 cm, then maximum number of small cubes that can be put at third layer is 300.
Statements : Some tigers are lions. Some lions are rabbits. Some rabbits are horses.

Conclusions :
I. Some tigers are horses.
II. Some rabbits are tigers.
III. Some horses are lions.
IV. All horses are rabbits.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow from the statements. Statements: 1. All parakeets are cuckoos. 2. All cuckoos are rabbits. 3. All rabbits are snakes. Conclusions: I. All parakeets are snakes. II. All snakes are cuckoos. III. All rabbits are parakeets. IV. All cuckoos are snakes.
Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements:  1. All boats are cats. 2. All cats are bats. 3. All bats are rabbits. Conclusions:  I. All cats are rabbits. II. All bats are boats. III. All boats are rabbits.
Given below are four jumbled sentences. Out of the given options pick the one that gives their correct order. A. So, in the agrarian era, you destroy your enemy’s productive capacity by burning his crops or fields. B. Now, in the information era, destroying the enemy’s productive capacity means destroying their information infrastructure. C. You battle with your enemy by destroying the enemy’s productive capacity, which will be different depending upon the foundation of economy. D. But in the industrial era, ending productive capacity meant bombing of the factories that are located in cities and main industrial areas.
In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: All rabbits are animals. Some dogs are not rabbits. Conclusions: I. Some dogs are rabbits. II. No dog is animal.
Female rabbits are either juvenile or adult. Each month, each juvenile grows to adulthood and each adult female gives birth (on average) to one juvenile female. Starting with one juvenile female rabbit, how many female rabbits will there be after 10 months ?
In the question below, are given a statement followed by three courses of actions numbered I, II and III. On the basis of the information given, you have to assume everything in the statement to be true, and then decide which of the following suggested courses of actions logically follow(s) for pursuing. Statement: Starting October, all new cars will have pedestrian safety features, including new design of the bonnet, to reduce impact on pedestrians during accidents. Advanced safety features are needed in all vehicles in India as vehicle safety cannot be confined to luxury vehicles only. Around 1.5 lakh people are killed in road accidents every year in the country, nearly 60% of them are pedestrians.  Courses of action: I. The government has set a target to reduce the number of road deaths by half in the next two years. The ministry of road transport and highways has been issuing new safety standards for the automobiles along with eliminating the black spots on national highways.  II. By next month, all new cars will have pedestrian safety feature, including new design of the bonnet, to reduce impact on pedestrians during accidents.  III. Ministry of road transport and Highways is planning to implement all safety features in vehicles with active support of vehicle manufacturers. Electronic stability control (ESC) and autonomous emergency braking (AEB) will be incorporated in new vehicles by 2022.
The following sequence is a fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21,….. Which technique can be used to get the nth fibonacci term?
In the question below is given a statement numbered I, II and III. An assumption is something supposed or taken for granted. You have to consider the following assumption and decide which of the assumption is implicit in the statement. Statement: Summer is slowly fading away, but the sales of super premium and craft beers continue to sizzle. And now the FIFA World Cup football in Russia, as many football fans head out to the pubs every evening to watch matches, is adding some more fizz to the market. For young millennials, especially in Indian metros, it’s also time to seek out new craft and super-premium beers. According to a report by Euromonitor International last year, there is likely to be a further rise of craft beers in India this year. The report says that the huge success of B9 Beverages’ Bira 91 is expected to further encourage many global players to introduce their own craft beers.  Assumptions: I. Additionally, with this category being largely underdeveloped, many new players are also expected to emerge.  II. Likewise, a recent report by BMI Research of Business Monitor International, too, sees a strong growth for the beer market in India in 2018 on the back of changing cultural attitudes and a young, increasingly affluent population, demand for premium and craft beers is rapidly emerging. III. With growth in demand from Indian beer connoisseurs, who don’t mind paying a premium, it’s no surprise that importers and local brewers have launched over 20 new and fresh flavours this summer, including niche craft beers produced in small breweries.