Series / Sequences: Ascertain the next term in a sequence

Assuming the sequence continues according to the same rule, what number appears in the 8th element?

$2,5,8\ldots$

23

Assuming the sequence continues according to the same rule, what number appears in the 11th element?

$2,5,8\ldots$

32

How many triangles are in the third element?

2

How many squares are there in the fourth element?

7

Find the first three elements of the series. $3n+3$

12 , 9 , 6

Look at the sequence below:

_ , _ , 6 , 16 , 8 , 18 , 10 , 20, ...

What are the seventh and eighth terms of the sequence?

4 , 14

How many balls are in the number 15?

15

$2n-1$

What is the second term of the sequence represented above?

3

How many triangles are there in the fifth element of the sequence?

3

Assuming that the sequence continues with the same rule, what number appears in the 7th element?

$51,47,43,39\ldots$

27

A sequence has the rule $6n-1$.

What is the first term in the sequence?

5

For the series $n^2+1$

What is the third element?

10

For the series $2n-1$

What is the fifth element?

9

A sequence has the following term-to-term rule:

$2n+2$

What is the value of the 5th element in the sequence?

$12$

Look at the sequence below:

$10,20,40,\text{?,?,?}$

What is the 5th element of the series?

$160$

A sequence has a term-to-term rule of $2(2n-2)$.

What is the 8th element of the sequence?

$28$

Below is the rule for a sequence in terms of $n$:

$n^2-n$

What is the value of the 6th element of the series?

$30$

Look at the sequence below:

$15,22.5,30,\text{?,?,?}$

What is the 6th element of the sequence?

$52.5$

A sequence has a term-to-term rule of $n-0.5n$.

What is the 8th element of the sequence?

$4$

The following is a series of structures formed by squares with side lengths of 1 cm.

In which structure (element) of the series are there 16 squares?

$4$