paython TASKS $($EIGHT Tasks$)$

$1.$ Write a function called sum$\_$from$\_$one$()$ that takes an integer and adds up and returns

all the integers from $1$ up to that number.

Signature:

def sum$\_$from$\_$one$($n$)$:

# your code here

return sum

Examples:

sum$\_$from$\_$one$(5)->15$

sum$\_$from$\_$one$(9)->45$

$2.$ Write a function called sum$\_$fivers$()$ that takes an integer and adds up and returns all

the multiples of $5$ that are less than or equal to that number.

Signature:

def sum$\_$fivers$($n$)$:

# your code here

return sum

Examples:

sum$\_$fivers$(5)->5$

sum$\_$fivers$(19)->30$ # $5+10+15$

$3.$ Write a function called count$\_$fivers$()$ that takes an integer and counts and returns

how many multiples of $5$ there are that are less than or equal to that number.

Signature:

def count$\_$fivers$($n$)$:

# your code here

return sum

Examples:

count$\_$fivers$(5))->1$

count$\_$fivers$(19))->3$

count$\_$fivers$(146))->29$

$4.$ Write a function called sum$\_$fromX$()$ that takes two integers, bottom and top, and

adds up and returns all the integers from bottom up to and including top.

Signature:

def sum$\_$ fromX$($bottom$,$ top$)$:

# your code here

return

Examples:

sum$\_$fromX$(2,3)->5$

sum$\_$fromX$(2,2)->2$

sum$\_$fromX$(15,19)->85$

$5.$ Write a function called sum$\_$divisors$()$finds the sum of all the proper factors of an

integer. $($Proper factors are all the factors of an integer other than the number, itself.$)$

Signature:

def sum$\_$divisors$($n$)$:

# your code here

return

Examples:

sum$\_$divisors$(1)->1$ #only $1$ divides itself

sum$\_$divisors$(5)->6$ #$5+1$

sum$\_$divisors$(10)->18$ #$1+2+5+10$

$--$ MORE TASKS ON NEXT PAGE $--$

$6.$ Write a function called mystery$\_$sum$()$ that takes one integer parameter, n$,$ and

calculates a "sum" as follows:

For all integers from $1$ up to but not including n $$

$$ For even numbers add the square of the number

$$ For odd numbers, add twice the number

Signature:

def mystery$\_$sum$($n$)$:

# your code here

return

Examples:

mystery$\_$sum$(4))->12$

mystery$\_$sum$(13))->436$

$7.$ Write a function called mystery$\_$sum$2()$ that takes one integer parameter, n$,$ and

calculates a "sum" as follows:

For all integers from $1$ up to but not including n $$

$$ For even numbers, add the square of half the number

NOTE: Be sure you use integers only!

$$ For odd numbers, add the square of the number

Signature:

def mystery$\_$sum$2($n$)$:

# your code here

return

Examples:

mystery$\_$sum$2(4))->11$

mystery$\_$sum$2(13))->377$

$8.$ Write a function called bigger$\_$mystery$()$ that takes one integer parameter, n$,$ and

determines which mystery function above generates a larger result.

$$ "SAME" if the two results are the same

$$ "ONE" if mystery$\_$sum$()$ generates a larger result

$$ "TWO" if mystery$\_$sum$2()$ generates a larger result

Signature:

def bigger$\_$mystery$($n$)$:

# your code here

return

Examples:

bigger$\_$mystery$(5)->$ TWO

bigger$\_$mystery$(20))->$ ONE