Question: These are exercises in myprogramminglab for python and I think the simpler the code the better: 1.An arithmetic progression is a sequence of numbers in
These are exercises in myprogramminglab for python and I think the simpler the code the better:
1.An arithmetic progression is a sequence of numbers in which the distance (or difference) between any two successive numbers is the same. This in the sequence 1, 3, 5, 7, ..., the distance is 2 while in the sequence 6, 12, 18, 24, ..., the distance is 6.
Given the positive integer distance and the non-negative integer n, create a list consisting of the arithmetic progression between (and including) 1 and n with a distance of distance. For example, if distance is 2 and n is 8, the list would be [1, 3, 5, 7].
Associate the list with the variable arith_prog.
2. A geometric progression is a sequence of numbers in which each value (after the first) is obtained by multiplying the previous value in the sequence by a fixed value called the common ratio. For example the sequence 3, 12, 48, 192, ... is a geometric progression in which the common ratio is 4.
Given the positive integer ratio greater than 1, and the non-negative integer n, create a list consisting of the geometric progression of numbers between (and including) 1 and n with a common ratio of ratio. For example, if ratio is 2 and n is 8, the list would be [1, 2, 4, 8].
Associate the list with the variable geom_prog.
3.In the following sequence, each number (except the first two) is the sum of the previous two number: 0, 1, 1, 2, 3, 5, 8, 13, .... This sequence is known as the Fibonacci sequence.
Given the positive integer n create a list consisting of the portion of the Fibonacci sequence less than or equal to n. For example, if n is 6, then the list would be [0, 1, 1, 2, 3, 5] and if n is 1, then the list would be [0, 1, 1].
Associate the list with the variable fib.
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