Math topic中文
Recursion and induction in counting
Find the pattern from small cases, build a recurrence (e.g. stair-climbing Fibonacci type) and extend to large cases.
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Practice questions
- 1A cricket randomly hops between 4 leaves, on each turn hopping to one of the other 3 leaves with equal probability. Afte…
- 2Three hexagons of increasing size are shown below. Suppose the dot pattern continues so that each successive hexagon con…
- 3A game board consists of 64 squares that alternate in color between black and white. The figure below shows square i…
- 4When a positive integer is fed into a machine, the output is a number calculated according to the rule shown in the…