Ok please I dont want an answer I need an explanation please my test is at 8:45 and its 7!!! explain!!!!!!!!!?

Question

Inductive reasoning:

Building block pattern:
HEIGHT: 1 2 3 4 5 ... n... 35
TOTAL BLOCKS: 1 4 ? ? ? ? ?

Guessing and checking is not the step I want to use b/c the problems will get harder I know theres something you do!!!!

Answer 1

n^2 gives you the area, just multiple n by itself... you need to get in the habit of drawing diagrams and examples if you desire to exceed in math. I am a physics grad student and draw diagrams on almost every new physics problem I work on, and I imagine I will continue this habit for the rest of my life. The beauty of drawing pictures is that once you do it and once you understand it, then the equation (in this example n^2) should stay in you head forever, of course with occasional practice... hope I helped. cheers

note: the guy above is perfectly right, just don't misunderstand his advice by thing the - thing in n - n^2 is a minus sign he is rather using it as a : sign so imagine him saying f(n)=n^2 or n: n^2 or simply just n^2 if that is easier for you to understand

Answer 2

The data is too less to build up the model. But if we assume that the total blocks are square of the height:

Height : 1, blocks - 1

Height: 2, Blocks - 4 (2 square)

Height: 3 blocks - 9

Height - 4, Blocks - 16

etc.

n - n^2

35 - 35^2 (1225)