There exists a staircase with N steps, and you can climb up either 1 or 2 steps at a time. Given N, write a function that returns the number of unique ways you can climb the staircase. The order of the steps matters. For example, if N is 4, then there are 5 unique ways:

There exists a staircase with N steps, and you can climb up either 1 or 2 steps at a time. Given N, write a function that returns the number of unique ways you can climb the staircase. The order of the steps matters. For example, if N is 4, then there are 5 unique ways:

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter8: Arrays And Strings

Section: Chapter Questions

Problem 21PE

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(Numerical) a. The following is an extremely useful programming algorithm for rounding a real number to n decimal places: Step 1: Multiply the number by 10n Step 2: Add 0.5 Step 3: Delete the fractional part of the result Step 4: Divide by 10n For example, using this algorithm to round the number 78.374625 to three decimal places yields: Step1:78.374625103=78374.625 Step2:78374.625+0.5=78375.125 Step3:Retainingtheintegerpart=78375Step4:78375dividedby103=78.375 Using this algorithm, write a C++ function that accepts a user-entered value and returns the result rounded to two decimal places. b. Enter, compile, and run the program written for Exercise 11a.
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please code in python Find the Error The following function takes in a positive integer and returns True if the integer is divisible by at least one integer between 2 and 7, inclusive, or False otherwise. Or at least, that’s what it’s supposed to do; there is a logic error that causes it to fail (for example, it should return True when passed in 15, but it returns False instead). Find the error and fix it. If you’re working in a pair, make sure that both of you are able to explain the error to your TA. Hints: As with most logic errors, the first thing you should do is put in print statements. Print out what i is at each step of the loop. At what point can you safely return False (that is, how many values of i do you have to check before you can be sure num isn't divisible by any of them)? def div27(num): for i in range(2,8): if num % i == 0: return True else: return False
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Transcribed Image Text About initial programming in python: Consider the series: 8. 1)" 1 = 1- 3 1 1 1 2n | 1 n=0 whose sum converges ton/4 That is: П lim s, = a) Write a function that, given n, calculates the sum of the series up to term n. b) Write a function that calculates the sum of the series with an error of less than O.01, that is, calculate the sum of the series series such that |Sn-N/4| < O. 01. Your function must also return the number of terms necessary to reach this error, that is, your function will return a tuple with the two calculated values. Important: It is mandatory to use the function defined in the previous item. Hint: math.fabs(number) returns the absolute value (module) of a number.
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