Can I get some help on this question please, and a a explanation on how you got the answer too.

Work Shown:

There are 2 x's over the "1/4", so 2*1/4 = 2/4 of a quart is drank in total by this group. Let P = 2/4

There are 5 x's over the "3/4", so 5*3/4 = 15/4 quarts is drank in total by this group. Let Q = 15/4

Subtract P and Q

Q - P = 15/4 - 2/4 = (15-2)/4 = 13/4

Convert the result to a mixed number

13/4 = (12+1)/4

13/4 = 12/4 + 1/4

13/4 = 3 + 1/4

13/4 = 3 & 1/4

the infinity sign

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