Respuesta :
1. 13, 18, 23, 28, 33, 38, 43, 48, 53.
Conjecture: we add five to the next number 13+5: 18; 18+5: 23.
2. 512, 256, 128, 64, 32, 16, 8, 4, 2
Conjecture: Dividing the numbers by 2. 512/2: 256; 256/2:128.
3. 1, 8, 27, 64, 125, 216, 343, 512, 729.
Conjecture: series of cubic numbers: the base multiplied by 3.
4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31.
Conjecture: prime numbers: are numbers that can only by divided by themselves and by unit
5. i, ii, iii, iv, v, vi, vii, viii, ix, x.
Conjecture: Roman numbers is a numerical system expressed by roman numerals.
Answer:
1. 13, 18, 23, 28, 33, 38, 43, 48, 53 --------> Conjecture: This is a sequence of numbers whose difference from one to another is 5.
2. 512, 256, 128, 64, 32, 16, 8, 4, 2 --------->Conjecture: This is a sequence of halves of the precedent number starting with 512.
3. 1, 8, 27, 64, 125, 216, 343, 512, 729 ------->Conjecture: This is a sequence of the cubic numbers starting with 1^3 and ending with 9^3.
4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31--------> Conjecture: This is a sequence of the first prime numbers
5. i, ii, iii, iv, v, vi, vii, viii, ix, x -------> Conjecture: This is a sequence of the roman numbers
Explanation:
1. If you add 5 to each number in the order they appear, you will have as a result the following number in the sequence.
2. If you divide each number by 2 to obtain the half, you will get as a result the following number in the sequence.
3. If you multiply each number 3 times itself, you will find the cube number, that means the number that appears for each value:
1^3= 1 . 1 . 1 = 1
2^3= 2 . 2 . 2 = 8
3^3= 3. 3 . 3 = 27 .. and so on.
4. The prime numbers are the ones that can be divided just by themselves or by one. They cannot be divided by any other number.
5. This a normal sequence of the roman numbers. It starts in 1 and ends in 10.
