Caroline is baking pies for the teachers' lunch at her school. She plans to give every teacher of a pie. 1/8 She decides to bake 12 pies. How many complete pieces of pie will Caroline be able to serve to the teachers?

96 Slices.

Step-by-step explanation:

You just multiply 8 and 12. 8 because there are 8 slices of pie in Caroline's pie. And 12 because she made 12 pies.

, 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