Would you rather have two 20% discounts or a 40% discount?

one 40% discount

Step-by-step explanation:

lets use 100$ total for an example.

Say we have 40% of 100 so the total would be 60$ but it we have 20% and then another 20% off that we would have a final total of 64$\

Prove: 100*.4=40 100-40=60

100*.2=20 100-20=80, 80*.2=16 80-16= 64$

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for