Acarton in the shape of a cube measuring 8 in. tall is filled with colored plastic cubes measuring 1 in. across each face. the cubes sell for 25 cents each. how much would it cost to buy all of the cubes in the carton? enter your answer in the box. $

You can fir 8x8x8 cubes in the carton, that means you can fit 512 cubes in the carton.
the total cost would be, 0.25 x 512 = $128

128$is the awnserr                                              

, and

for

step-by-step explanation:

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

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

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

(6,0) i hope it makes enough sense