25 pts Question 2
A 2-dozen carton of eggs has 18 remaining. Write this as a fraction in simplest form.
(Only use numbers and a slash in your answer. Example: -8/3)

(a)

1+2+3+..........+80

we can see that this is arithematic sequence

so, first term is

common difference is

total term is

now, we can find sum of nth term

now, we can plug values

and we get

...........Answer

(B)

2+4+6+.......+100

we can see that this is arithematic sequence

so, first term is

common difference is

total term is

now, we can find sum of nth term

now, we can plug values

and we get

..........Answer

(C)

1+3+5+...+99

we can see that this is arithematic sequence

so, first term is

common difference is

total term is

now, we can find sum of nth term

now, we can plug values

and we get

..........Answer

(D)

3+7+11+15+...+43

we can see that this is arithematic sequence

so, first term is

common difference is

total term is

now, we can find sum of nth term

now, we can plug values

and we get

..........Answer