Paige borrows $700 from her parents for a new computer. she repays $100 the first month, then begins to repay her parents $75 per month. which recursive formula models the total amount of money still owed, mc022-1.jpg?

Option B is correct

;

Step-by-step explanation:

The recursive formula for the arithmetic sequence is given by:

             .....[1]

where,

d is the common difference.

n is the number of terms.

As per the statement:

Paige borrows $700 from her parents for a new computer.

She repays $100 the first month, then begins to repay her parents $75 per month.

Now, she only has to pay back after then,  $700 - $100 = $600

then,  begins to repay her parents $75 per month.

The sequence we get;

600, 525, 450, ....

This is the arithmetic sequence.

here,

and d = -75

Since,

525-600 = -75

450-525 = -75 and so on...

Substitute the given values in [1] we have;

Therefore, the recursive formula models the total amount of money still owed is:

;

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: