On thursday carissa ate some cranberries. the next day she couldn't stop thinking about how good the cranberries were and ate seven more cranberries than she had eaten on thursday. each day after that she ate seven more cranberries than the day before. by the following wednesday night, she had eaten a total of 161 cranberries for the whole week. how many cranberries did carissa eat on thursday? extra: since carissa would probably get sick eating so many cranberries, let's pretend. if she were to continue this pattern, each day eating seven more cranberries than the day before, on which day would she eat 499 cranberries for her daily total?

Let number of cranberries did Carissa eat on Thanksgiving Thursday = x

Given that she ate 7 cranberries on each following day so that seems she is following arithmetic sequence.

Whose first term is a = x

common difference d = 7

Given that on following Wednesday night, she had eaten a

total of 161 cranberries for the whole week.

Wednesday means on 7th day from thanksgiving day.

Then sum of 7 terms of the sequence is 161

S7=161

Sum of arithmetic sequcen is given by formula:

322-294=14x

28=14x

2=x

Hence Carissa ate 2 cranberries on Thanksgiving Thursday.

Now we have to find the number of day on which Carissa will eat 499 cranberries.

So we will use nth term formula

72=n

Hence final answer is 72nd day.

it would be 6xy and -16xy.