 |
 |
Consecutive Numbers
ZOOMsci Index | your results | list of activities
Sent in by:
Elisa R. of Potomac, MD
Do you like math puzzles? Well, here's a great one!
1. Find five consecutive numbers that add up to 100. Consecutive numbers are numbers that come in a row, like 4, 5 and 6 or 30, 31 and 32.
2. Once you know which five consecutive numbers equal 100, try to figure out which five consecutive numbers equal 200. After you do that, you'll probably see a pattern.
3. Use the pattern to see which five consecutive numbers add up to 300.
Did you find a pattern? For an added challenge, figure out what you would have to do to find six or seven consecutive numbers that add up to 100. Do you know any other challenging math puzzles? If so, challenge ZOOMers the world over by sending them to ZOOM!
You can also send us your pictures or video of this ZOOMsci:
ZOOMsci
ZOOM
Box 350
Boston, MA 02134
Sarah, age 8 of Ypslanti, MI wrote:
At first I thought it was easy. But I was thing,"How in the world am I suppost to do this?"I thought and thought. Finaly I realised it was easy! 18+19+20+21+22=100! 28+29+30+31+32=100! And so on. Who would have thought it was so easy!
Madison, age 9 of Houston wrote:
It was hard but you add ten each time. 100=18 19 20 21 22. 200=28 29 30 31 32. 300=38 39 40 41 42.
Angel, age 11 of Gretna, LA wrote:
Each time, from 100, 200, and 300 you had to add 10 to the con. numbers. Example: 100=18, 19, 20, 21, 22; 200=28, 29, 30, 31, 32; 300=38, 39, 40, 41, 42.
Jenna, age 14 of Odessa, TX wrote:
I am an 8th grade algebra student so I know a shortcut to working this kind of problem. N stands for the number you are trying to find the value of so you use this equation: (n)+(n+1)+(n+2)+(n+3)+(n+4)=100. This is a very involved equation and may not work for you if you don't get it.
Divya, age 9 of West Nyack, OK wrote:
Me and my friend, Shimul tried this experiment at home. First, we divided 100 by 5. The answer was 20. So then, we played around with the numbers and found out that the consecutive numbers 18, 19, 20, 21, and 22 when added together equal 100.
Nokomis, age 12 of West Point, VA wrote:
When I used 7 consecutive numbers they equaled up to 98. The numbers I used were 11, 12, 13, 14, 15, 16 & 17. The experiment kind of confuse me, so I got help from my 16 year old sister.
Danielle, age 11 of De Soto, KS wrote:
I was estimating and I found that 18, 19, 20 all would have rounded to 20. 21, and 22 also rounded to 20. So I figured that if there were five numbers that all rounded to 20, I tolk 20x5. That equaled 100.
Akhil, age 6 of Montebello, CA wrote:
5 consecutive numbers for 100. Divide 100 by five then make the five numbers by going up and down. The numbers are 18, 19, 20, 21, 22.
Madaline, age 11 of Denison, IA wrote:
It took me 5 trys to figure it out. It is 18+19+20+21+22=100
Anonymous of Los Altos Hills, CA wrote:
I figured that the average of the numbers should be 20. I could have done 10, 15, 20, 25, 30, or 16, 18, 20, 22, 24 instead of 18, 19, 20, 21, 22. For the second question, I doubled the answer to the first question, and so on.
Mike, age 12 of Tustin, CA wrote:
i used the algebraic version to solve it. In math, you solve it like this: x plus x + 1 plus x + 2 and so on. Then you add up all of the numbers, and all of the x's/ ie. x + x + 1 + x + 2=15 = 3x + 3= 15 = 3x=12 x=4 x+1=5 and x+2=6. so using this formula, any consecutive number problem is easy.
Carlie, age 14 of Aurora, CO wrote:
I just tryed some numbers and what I had found out was you add 18, 19, 20, 21, and 22 to get 100. Then I thought I could just add 20 to each number to get 200 like 38, 39, 40, 41, and 42. Then for 400 I did 78, 79, 80, 81, and 82.
Coourtney, age 13 of Kenosha, WI wrote:
I found that 10, 15, 20, 25, and30=100 and that 30, 35, 40, 45, and50=200and that50, 55, 60, 65, and70=300. If you look carefully you see that the last number in the frist set is the same as the frist number in the next set and so on.
Mikayla, age 12 of NC wrote:
When I used 7 consecutive number it equaled up to 98. The numbers are 11, 12, 13, 14, 15, 16, 17.
Emilie, age 12 of NC wrote:
To find five consecutive numbers for 100, I first divided 100 by 5, which was 20. I knew 20 would be the middle consecutive number because the two numbers above twenty that are one and two more than twenty would make up for the two numbers below twenty that were one and two less than twenty. For example take away 1 from 21 and you have 20. Add that 1 to 19 and you have 20. Take away 2 from 22 and you have 20. Add that 2 to 18 and you have 20. 5 times 20 is 100. It will work with any number. It will also work if want more consecutive numbers. For 7 consecutive numbers or any number just do the same thing.
Lindsey, age 12 of WA wrote:
I started with 100, the numbers came to 18, 19 and so on. I realized that when you start to do 200 all you have to add 20 to the number so it would be 18+20. Then that anewer plus the next four numbers. Also you can divid the number by 5 take that answer and - 2 and start with that number and + the next 4 numbers.
Sunny, age 9 of CA wrote:
I tried it and found that it's like 18+19+20+21+22=100, and the numbers to be added on the =100. X2 equals 200. X3 those equals 300, etc.
|
|
 |
 |
