Link to the diagram -

webactivities.files.wordpress.com/2010/09/figb1.jpg

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.

2 answers

The sequence of rectangles goes like
2*1, 3*3, 4*5, 5*7
so the formula for the nth term is (n+1)(2n-1) which is quadratic growth.
From "Please Help" to "Jack Will" to "Gary" all for the same question.
How can we keep you straight?

Why did you not describe the diagram or state the numbers 2, 9, 20, 35
in the first place, the pattern would have been easy to see, and avoided
unnecessary work by other tutors.

Did you notice that oobleck gave you the same answer you received 3 posts ago?
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

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

And here where I tested the formula as requested
https://www.jiskha.com/questions/1828363/1-2-2-9-3-20-a-determine-what-kind-of-growth-this-is-and-explain-how-you