Zamba has found a little black dress on sale for 50% off the original price of $239.99. she also has a coupon offering free shipping and additional 10% off of her entire online purchase. if she buys the dress and a pair of shoes costing $34.70, how much will she pay for her ensemble?

for ensemble she pays $139.23

Step-by-step explanation:

dress was 239.99 but on sale for 50% off

239.99 divided by 2 is 119.99 rounded to 120.00

plus she finds shoes which is 34.70

add 120 to 34.70 with total of 154.70

take 154.70 times that by 10% to find out the discount which equals 15.47

subtract 15.47 from 154.70 and you get 139.23

, 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