Hello,

The key to solve these questions is to find the connection between the consecutive terms.First of all the difference between the second and first term is 5-1 =4.

The difference between the third and second terms is 17-5 = 12.

Similarly the difference between the fourth and third terms is 53-17 = 36.

Now look the differences,they follow a different pattern.

4, 12, 36,...

The second term is actually 4 *3.That is 3 times the previous term.Similarly the third term is 3 times the second term (12*3 = 36).So the fourth term will be 3 times the third term 36*3 = 108.

Here 108 is the difference between the fourth and fifth terms of the actual series.Therefore the fifth term of the series will be 53+108 = 161.

Hope this helps!!

Hey,

if we look at the series then the numbers are added as 2,3,4,5 and so....with  the preceding numbers, that is 1,3,6,10

that is,

1+2=3

3+3=6

6+4=10

10+5=15

15+6=21

21+7=28 and so on....

thus the required series will be 1,3,6,10,15,21,28... and so on.

Which is the required series.

I hope this helps.

Hey!

Given mental Aptitude question forms a series in which next consecutive term comes by adding a natural number starting from 3,that is,

1+ 3 =4

4+ 4 =8

8+ 5 =13

13+ 6 =19

19+ 7 =26

And so on....

So the series becomes 1,4,8,13,19,26,....

And next value of the question is 19 and 26.

Hope it helped to clear your delimma.

Hello,

The pattern is such that the next term is the double of the previous term.

3, 3*2=6, 6*2=12, 12*2= 24,....

Therefore the next term will be 24*2 = 48

Then 48*2 = 96 and so on.

Hope this was useful.

Hi,

It is a series of odd prime numbers. Prime numbers is a that  numbers which is only divisible by itself and 1.

so next odd number in the number series which is divisible by only itself and 1 is 17. So the next number given series  will be 17.

Hope it helps.

Hello,

The common difference between  two consecutive terms in the series is 3. This series is in fact the multiplication table of 3.Therefore the fifth term will be 12+3= 15.

So the series will be 3, 6, 9, 12, 15, 18, 21, 24, 27, 30,...

Hello,

The given series is 5, 10, 17, 26,..

The difference between the first and second terms is 5.

Similarly the difference between third and second terms is 7.

And the difference between fourth and third terms is 9.

So the differences between terms is a series 5, 7, 9,.. with 2 as a common difference.So the difference between fifth and fourth term will be 11.Which implies that the fifth term will be 26+11=37.

Hope this helps!!

Hello,

In the given question, 0,3,8,15,.. if we observe the trend then,

• 0
• 0 + 3 = 3
• 3 + 5 = 8
• 8 + 7 = 15

Hence, the next numbers will be,

• 15 + 9 = 24
• 24 + 11 = 35
• 35 + 13 = 48 and so on.

i.e., the series will be, 0, 3, 8, 15, 24, 35, 48,....

Best Wishes.

Hello,

The complete series would be 2,6,12,20,30,42,56 and so on.

The equation being used here is n x (n+1) where n is the position of digits.

To elaborate it further the digit at 4th position in series can be found  by using the formula n x (n+1) you will get 4 x (4+1) = 20

similarly the digit after 20 that is at 5th position will be 5 x (5+1) = 30.

So the series is 2,6,12,20,30,42,56.

Hope this was helpful

Hello!

Here is this series 5,10,17,26...., the pattern is addition. The addition of consecutive odd numbers throughout the series starting with '5'. Look at the pattern for this series below:

5

10 = 5+5 (previous no.+ odd no 5)

17 = 10+7 (previous no.+next consecutive odd no after 5)

26 = 17+9

37 = 26+11

50 = 37+13

Final series is : 5,10,17,26,37,50

I hope this helps