Series / Sequences: Identifying and defining elements

12 ☐ 10 ☐ 8 7 6 5 4 3 2 1

Which numbers are missing from the sequence so that the sequence has a term-to-term rule?

It is possible to see that there is a difference of one number between each number.

That is, 1 is added to each number and it will be the next number:

$1+1=2$

$2+1=3$

$3+1=4$

Etcetera. Therefore, the next numbers missing in the sequence will be:$8+1=9$

$10+1=11$

11 , 9

Look at the following set of numbers and determine if there is any property, if so, what is it?

$94,96,98,100,102,104$

One can observe that the difference between each number is 2.

That is, with each leap the next number increases by 2:

$94+2=96$

$96+2=98$

$98+2=100$

and so forth......

$+2$

The table shows the number of balls and the number of courts at the school:

.

Complete:

Number of balls is _________ than the number of courts

It is possible to see that if you multiply each number from the right column by 2, you get the number from the left column.

That is:$1\times2=2$

$2\times2=4$

$3\times2=6$

Therefore, the number of balls is 2 times greater than the number of courts.

2 times greater

Is there a term-to-term rule for the sequence below?

18 , 22 , 26 , 30

Yes

Look at the following set of numbers and determine if there is any property, if so, what is it?

$1,2,3,4,5,6$

$+1$

Look at the following set of numbers and determine if there is any property, if so, what is it?

$13,10,7,4,1$

$-3$

Look at the following set of numbers and determine if there is any property, if so, what is it?

$13,16,20,23$

Does not exist

Look at the following set of numbers and determine if there is any property, if so, what is it?

$10,8,6,4,2$

$-2$

Look at the following set of numbers and determine if there is a rule. If there is one, what is it?

$5,10,15,20,25,30$

$+5$

Look at the following set of numbers and determine if there is any property, if so, what is it?

$256,64,16,4,1$

$\times0.25$

Look at the following set of numbers and determine if there is any property, if so, what is it?

$88,66,44,22,2$

Does not exist

Look at the following set of numbers and determine if there is any property, if so, what is it?

$100,50,25,10,20$

Does not exist

Look at the following set of numbers and determine if there is any property, if so, what is it?

$1,3,9,26,81$

Does not exist

Look at the following set of numbers and determine if there is any property, if so, what is it?

$12,24,35,48,60$

Does not exist

Look at the following set of numbers and determine if there is any property, if so, what is it?

$4,8,12,5,20$

Does not exist

Look at the following set of numbers and determine if there is any property, if so, what is it?

$2,4,8,16,32,64$

$\times2$

Mark the group that maintains the veracity.

62, 58, 54, 50, 46, 42

Peter buys a shirt for 20 dollars.

Each week its price increases by 5 dollars.

Choose the appropriate sequence to represent the price of the shirt.

35 , 30 , 25 , 20

Mark in which group there is no property.

^{55 , 45 , 35 , 30 , 20 , 0}

Look at the following set of numbers and determine if there is any property, if so, what is it?

$2,5,12.5,31.25$

$\times2.5$