Me find the lateral and the surface area i have to round to the nearest tenths if necessary

Step-by-step explanation:

We have four congruent triangles with base b = 16cm and height h = 12cm.

The formula of an area of a triangle:

Substitute:

The latearal area:

For the surface area we need the area of a base.

The base is a square with side a = 16cm.

The area of the base:

The surface area:

, 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