2. Raj buys a terrarium that is in the shape of a triangular prism. The dimensions of the terrarium are shown below.
o(6)(-)+3 (6.10) - 192
5 in
5 in
4 in
o 2 ((O)(w)) + 3 (5.10) – 174
10 in
6 in
(6)(0)+(5. 10)+2 (610) 122
Raj knows that every triangular prism is made up of two triangular sides and three
rectangular sides, which equation represents the total surface area, in square inches,
of the terrarium?
(6 + 5 + 5)(10) + 2 (3 (91(a))

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