Question

(1,2), (2,9),(3,20).....
a) Determine what kind of growth this is and explain how you know.
b) Explain how you can go about finding an expression for the number of small squares in the nth term.
c)What is the expression for the term of this sequence
4)Test your expression by showing that it gives the correct value for the 1
st,2nd and third terms.

Please help me out with this and please write the number for the question you are giving an answer too. Thank you!

Answer 1

First here:
https://www.jiskha.com/questions/1828343/2-9-20-1-determine-what-kind-of-growth-this-is-and-explain-how-you-know-2-explain-how


Then here:
https://www.jiskha.com/questions/1828355/2-9-20-1-determine-what-kind-of-growth-this-is-and-explain-how-you-know-2-explain-how

Your new part: testing the equation I found if it works
I had given you:
term(n) = 2n^2 + n - 1
so term(1) = 2(1^2) + 1 - 1 = 2 , that works
term(2) = 2(2^2) + 2 - 1 = 8+2-1 = 9, that works also
term(3) = 2(3^2) + 3 - 1 = 18 + 3 - 1 = 20 , yup!

how about that, the equation works

Did you even look at my 2nd reply?

Answer 2

I resposted this question
and have a diagram this time. Check it out!