# conjectures

posted by .

Evaluate the following sums:
1
1+8
1+8+27
1+8+27+64

Add two more line to the list, and make a conjecture about the sums you obtained.

this is a pattern. if you look closely than you'll see each number is a product of another number cubed.

(1^3)+(2^3)+(3^3)... and so on. try this and see what you get.

thanks that's awesome. Do you just guess and try things to figure out conjectures?

Make a conjecture about the next 3 terms in the sequence 1,5,2,8,3,11....

no i just saw the pattern

okay educate me on what a conjecture is.

it is a mathematical statement that appears likely to be true, but has not been formerly proven true.

ahh. i see. okay so this one, is
1, 5, 2, 8, 3, 11

okay this one is a bit igreular, for the first number, 1, add 4, the second number is 5 and your going to subtract 3, the third number is 2 and your going to add six, the fourth number is 8 and your going to subtract 5. do you see the pattern?

1, (1+4)=
5, (5-3)=
2, (2+6)=
8, (8-5)=
3, (3+8)=

No I don't see the pattern. 4 3 6 5 8 is no pattern. but how do I write that as a conjecture?

well like i said it is kinda irregular. okay look first at the signs:

1, (1+4)=
5, (5-3)=
2, (2+6)=
8, (8-5)=
3, (3+8)=

it goes add, subtract, add, subtract and so on. the next step is to look real close at the numbers. we are starting with adding 4. then skip the next 5, we'll look at that later. so now we look at 2, and were adding six to that. how do you go to get from 4 to 6? basically every other number (starting with the first number in the sequence) you have to add the next greatest even number. in this case, starting with adding 4, skipping the 5, and adding 6 (the next greatest even number after 4) to the 2. now skip the next number in the sequence, the 8, and go to the 3. what do you do to that? add 8 becuase that is the next even number after 6. keep going like that

now look at the 5. to get 5 you had to add the 4 to the 1. to go the the 2 fromthe 5 your going to now do subtraction. remember what we established earlier, that one part of this pattern is adding, subtracting, adding, subtracting. so now we are on to the subtraction. here we are going to use the same method with the even numbers but this time it is going to be odd. how do you go from 5 to 2? you subtract 3. how now we skip the 2 becuase we know how to go from 2 to 8, (by adding 6 like we said earlier) and we try to figure out how to go from the 8 to the 3, which is subtracting 5 (which is the next greatest odd number after 3). i know this is confusing but hoppefully this is helping you a little. do you get it?

yes, thanks for the help. can you look at the other one i have up? maybe you can help me with understanding that. thanks again

of course. not a problem. and i would love to help you with however many you have. ask away.

of course. not a problem. and i would love to help you with however many you have. ask away.

of course. not a problem. and i would love to help you with however many you have. ask away.

## Similar Questions

1. ### conjectures

I'm finishing my math 20 Pure. This is my last 20 course then i have 30's. Also I have to work a full time job so that I can live on my own with my boy. So it is tough but I'm doing alright. What about you?
2. ### maths

each of the students in a class writes a dirrerent 2 digit number on the whiteboard. the teacher claims that no matter what the students write, there will be at least three numbers on the whiteboard whose digits have the same sum. …
3. ### Math

Make a conjecture about the next item in each sequence. 1.4,6,9,13,18 -I know that from 4 to 6 they added 2 and then from there each time the number you add is 1 more than the last one, but I don't know how to make a conjecture. Thanks
4. ### math

While investigating the properties of parallelograms using a dynamic geometry software program, a student notices that the diagonals of a parallelogram seem to bisect each other. The student conjectures that this statement is true …
5. ### math

Test these conjectures. Give three examples. Explain if the conjecture is correct or incorrect. 1. If a number is divisible by 4, it is always an even number._________________________________ 2. All multiples of 5 have a 5 in the ones …
6. ### Maths

Can you please tell me what TU means at the top of my sums eg., and do I put the sums answer in the circle between the sums and add the answer onto the next sums answer?
7. ### Math Sums and Differences

Use the strategy of your choice to find the sums and differences below. a)(-4)+(10)+(4)+(-2) b)(5)+(-8)+(3)+(-7) c)(-19)+(14)+(21)+(-23) d)(5)-(-10)-(4) e)(-3)-(-3)-(-3) f)(+26)-(-32)-(+15)-(8) Continue each pattern, 3 times a) 5,2,-1,-4,-,-,- …
8. ### Logic and Reasoning

Consider the following pattern involving fractions: 15/20=3/4, 15-3/20-4=12/16=3/4 18/15=6/5, 18-6/15-5=12/10=6/5 1.) Make a conjecture about the pattern. Show that the conjecture is true for another example. 2.) Explain how inductive …