# Patterns Assignment

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• Sep 20th 2013, 08:22 PM
Nadeshiko
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?
3. What # does row 12 start with?
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
Hey Nadeshiko.

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
Nadeshiko
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:

Originally Posted by Nadeshiko
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?
3. What # does row 12 start with?
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:

Originally Posted by Nadeshiko
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 \$\displaystyle n\$ begins with \$\displaystyle 2^{n-1}\$ and goes \$\displaystyle 2^{n-1},~2^{n-1}+1,~2^{n-1}+2,\cdots,~2^{n}-1\$.

So row 4 is \$\displaystyle 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
Nadeshiko
Re: Patterns Assignment
Ahhh! Yes, I already found the solution for this question. Thanks for your help. ^__^ Should I post the answer so if anybody have this kind of problem, they would be able to do the problem?
• Sep 21st 2013, 07:42 PM
chiro
Re: Patterns Assignment
Its up to you: whatever floats your boat.