# Patterns Assignment

• Sep 20th 2013, 08:22 PM
Patterns Assignment
Hello! Please help me on this problem. I tried and I still don't know how to do it. I'm sorry but I forgot the work that I tried. I did it in my head. Sorry. Please help me with the problem below.

1
2 3
4 5 6 7
8 9 10 11...

Questions:
1. How many #'s in row 30?
2. What row is #200 in? Where is its position in that row?
4. Where is #2015? Give row and position.
5. What does row 16 end with?

Patterns:
Write at least 3 patterns you notice from this assignment.
• Sep 20th 2013, 09:13 PM
chiro
Re: Patterns Assignment

If there are 2^(n-1) items in row n then you can calculate 1) easily.

Also you may want to use results regarding geometric series:

Geometric series - Wikipedia, the free encyclopedia

We can help you but its a good idea if you show an attempt with the above hints provided.
• Sep 21st 2013, 01:03 PM
Re: Patterns Assignment
I'm sorry. But can you rephrase it in a meaning that I can understand. I do not get the formula 2^(n-1). Please tell me what it means. Then maybe I can solve this problem. Thanks!
• Sep 21st 2013, 01:26 PM
Plato
Re: Patterns Assignment
Quote:

Hello! Please help me on this problem. I tried and I still don't know how to do it. I'm sorry but I forgot the work that I tried. I did it in my head. Sorry. Please help me with the problem below.
1
2 3
4 5 6 7
8 9 10 11...
Questions:
1. How many #'s in row 30?
2. What row is #200 in? Where is its position in that row?
4. Where is #2015? Give row and position.
5. What does row 16 end with?
Patterns:
Write at least 3 patterns you notice from this assignment.

Quote:

I'm sorry. But can you rephrase it in a meaning that I can understand. I do not get the formula 2^(n-1). Please tell me what it means. Then maybe I can solve this problem. Thanks!

Because the statement of the question is so poor, I would say that reply is a good guess. But that is all- just a guess.

I would guess that row $n$ begins with $2^{n-1}$ and goes $2^{n-1},~2^{n-1}+1,~2^{n-1}+2,\cdots,~2^{n}-1$.

So row 4 is $8,~9,\cdots~15$

But remember that is just a guess as to what the question means.
• Sep 21st 2013, 04:44 PM
chiro
Re: Patterns Assignment
I was guessing that you had 2^(n-1) items in each row since you have 1, 2, and 4 items in the first three rows.
• Sep 21st 2013, 05:45 PM