Examples with solutions for Series / Sequences: Ascertain the next term in a sequence

Exercise #1

,,

How many squares are there in the fourth element?

Video Solution

Answer

7

Exercise #2

,

How many triangles are in the third element?

Video Solution

Answer

2

Exercise #3

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

2,5,8 2,5,8\ldots

Video Solution

Answer

23

Exercise #4

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

2,5,8 2,5,8\ldots

Video Solution

Answer

32

Exercise #5

Look at the sequence below:

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

What are the seventh and eighth terms of the sequence?

Video Solution

Answer

4 , 14

Exercise #6

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

Video Solution

Answer

3

Exercise #7

,,,,,

How many balls are in the number 15?

Video Solution

Answer

15

Exercise #8

For the series n2+1 n^2+1

What is the third element?

Video Solution

Answer

10

Exercise #9

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

Video Solution

Answer

12 , 9 , 6

Exercise #10

For the series 2n1 2n-1

What is the fifth element?

Video Solution

Answer

9

Exercise #11

What is the eighth element of the sequence below?

n2 \frac{n}{2}

Video Solution

Answer

4

Exercise #12

Look at the sequence below:

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

What is the 5th element of the series?

Video Solution

Answer

160 160

Exercise #13

Look at the sequence below:

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

What is the 6th element of the sequence?

Video Solution

Answer

52.5 52.5

Exercise #14

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 81 squares?

Video Solution

Answer

9 9

Exercise #15

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

In which element of the sequence are there 36 squares?

Video Solution

Answer

6 6

Exercise #16

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?

Video Solution

Answer

4 4

Exercise #17

The following is a sequence of structures formed from squares with side lengths of 1 cm.

In which element of the sequence are there 100 squares?

Video Solution

Answer

10 10

Exercise #18

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 64 squares?

Video Solution

Answer

8 8

Exercise #19

A sequence has a term-to-term rule of n0.5n n-0.5n .

What is the 8th element of the sequence?

Video Solution

Answer

4 4

Exercise #20

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

2n+2 2n+2

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

Video Solution

Answer

12 12