While at the game Abby, Meagan, Riley, and Whitney shared a tub of popcorn. The cost of the popcorn was six dollars, including tax. The four friends split the cost of the popcorn evenly. How much did each friend have to pay?

Answer is in the file below

cutt.ly/zxt1ipy

dwe

step-by-step explanation:

ewd

, 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