Write an explicit formula for the arithmetic sequence below and use it to find the 52nd term: 25, 19, 13, 7

The explicit term is 31-6n

the 52nd term is -281

Step-by-step explanation:

Mathematically, the nth term of an arithmetic sequence is;

Tn = a + (n-1)d

a is first term = 25

d is common difference = 19-25 = 13-19 = 7-13 = -6

So for the explicit formula;

Tn = 25 + (n-1) -6

Tn = 25 -6n + 6 = 31-6n

for the 52nd term;

T52 = 25 + (52-1)-6

= 25 -306 = -281

answer: -8.2562234e+13

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.