S = –2t + 71 The variable t represents the number of tables Rick has set, and the variable s represents the number of soup spoons remaining. How many tables does Rick need to set in order to have just 35 soup spoons left to distribute?

=-2S+71

We move all terms to the left:

-(-2S+71)=0

We get rid of parentheses

2S-71=0

We move all terms containing S to the left, all other terms to the right

2S=71

S=71/2

S=35+1/2

, 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

Benefiting gif hebr hen ben bb i don’t know if you want me or not but i’m just