Matthew spent 2/3 of his birthday money on books and 1/4 of his birthday money on snacks. He says he has spent 3/7 of his birthday money. Which statement is most accurate?

37 is a reasonable answer for the fraction of his birthday money Matthew has spent.

37 is not a reasonable answer for the fraction of his birthday money Matthew has spent. The fraction should be closer to 12.

37 is not a reasonable answer for the fraction of his birthday money Matthew has spent. The fraction should be closer to 1.

3201

step-by-step explanation:

pretty sure 750 each month!

step-by-step explanation:

, 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

a

step-by-step explanation: