Logical Reasoning - Number Series - Discussion
Discussion Forum : Number Series - Type 1 (Q.No. 17)
Directions to Solve
In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
17.
Look at this series: 2, 6, 18, 54, ... What number should come next?
Answer: Option
Explanation:
This is a simple multiplication series. Each number is 3 times more than the previous number.
Discussion:
41 comments Page 1 of 5.
Prasanth A said:
1 year ago
Let's analyze the relationship between consecutive terms:
From 2 to 6, each term is multiplied by 3 (2 * 3 = 6).
From 6 to 18, each term is again multiplied by 3 (6 * 3 = 18).
From 18 to 54, each term is multiplied by 3 (18 * 3 = 54).
So, it follows a geometric sequence where each term is obtained by multiplying the previous term by 3.
Following this pattern, the next number in the series should be;
54×3 = 162.
Therefore, the next number in the series should be 162.
From 2 to 6, each term is multiplied by 3 (2 * 3 = 6).
From 6 to 18, each term is again multiplied by 3 (6 * 3 = 18).
From 18 to 54, each term is multiplied by 3 (18 * 3 = 54).
So, it follows a geometric sequence where each term is obtained by multiplying the previous term by 3.
Following this pattern, the next number in the series should be;
54×3 = 162.
Therefore, the next number in the series should be 162.
(3)
Ajinkya Sanap said:
1 decade ago
One more logic is if you add two consecutive numbers then the digit at unit place will be there in next number going by that;.
2+6=8 1'8'.
8+16=24 5'4'.
16+54=72 and in options, their is only one option having '2'.
On unit place which is 162.
2+6=8 1'8'.
8+16=24 5'4'.
16+54=72 and in options, their is only one option having '2'.
On unit place which is 162.
Afroz Gul said:
9 years ago
In this series, each number multiply by 2 and addition of the same number.
2, 6, 18, 54, 162, 486, ....
Initial number is 2.
2 * 2 = 4 + 2 = 6.
2 * 6 = 12 + 6 = 18.
2 * 18 = 36 + 18 = 54.
2 * 54 = 108 + 54 = 162.
2 * 162 = 324 + 162= 486.
2, 6, 18, 54, 162, 486, ....
Initial number is 2.
2 * 2 = 4 + 2 = 6.
2 * 6 = 12 + 6 = 18.
2 * 18 = 36 + 18 = 54.
2 * 54 = 108 + 54 = 162.
2 * 162 = 324 + 162= 486.
Najju gdk said:
1 decade ago
Hi.
This is najju.
It is 2 methods.
1. Take first number 2 and multiply by 3.
2*3=6.
6*3=18.
18*3=54.
54*3=162.
Or.
In easy step.
Add each number 3 times.
2+2+2=6.
6+6+6=18.
18+18+18=54.
54+54+54=162.
This is najju.
It is 2 methods.
1. Take first number 2 and multiply by 3.
2*3=6.
6*3=18.
18*3=54.
54*3=162.
Or.
In easy step.
Add each number 3 times.
2+2+2=6.
6+6+6=18.
18+18+18=54.
54+54+54=162.
Juliana said:
8 years ago
Hi. It's easy.
First, you need 3 times to each number like this.
2, 6, 18, 54.
2 * 3 = 6.
6 * 3 = 18.
18 * 3 = 54.
54 * 3 = 162.
And so on
First, you need 3 times to each number like this.
2, 6, 18, 54.
2 * 3 = 6.
6 * 3 = 18.
18 * 3 = 54.
54 * 3 = 162.
And so on
PATEL VIKI A said:
1 decade ago
Second answer is,
First series 2 & 18 & 162... is multiply by 9.
2*9=18.
18*9=162.
And second series 6 & 54 &
6*9 = 54.
54*9 = 486.
ANS = 2 6 18 54 162 486..
First series 2 & 18 & 162... is multiply by 9.
2*9=18.
18*9=162.
And second series 6 & 54 &
6*9 = 54.
54*9 = 486.
ANS = 2 6 18 54 162 486..
Ramesh said:
1 decade ago
Difference between 2 and 6 = 4
Difference between 6 and 18- 12
Difference between 18 and 54 = 36
Next number = 4x3=12, 12x 3=36, 36x3= 108
Next number = 54 + 108=162
Difference between 6 and 18- 12
Difference between 18 and 54 = 36
Next number = 4x3=12, 12x 3=36, 36x3= 108
Next number = 54 + 108=162
Dinesh bijarniya said:
1 decade ago
Difference between 2 and 6 = 4.
Difference between 6 and 18 = 12.
Difference between 18 and 54 = 36.
Next number = 4x3=12, 12x3=36, 36x3=108.
Next number = 54 + 108 = 162.
Difference between 6 and 18 = 12.
Difference between 18 and 54 = 36.
Next number = 4x3=12, 12x3=36, 36x3=108.
Next number = 54 + 108 = 162.
Roshan Roy said:
9 years ago
The formula is multiply the numbers by 2 to get the next number :
2 x 3 = 6.
6 x 3 = 18.
18 x 3 = 54.
Since 54 x 3 = 162.
Therefore the answer is [C]. 162.
2 x 3 = 6.
6 x 3 = 18.
18 x 3 = 54.
Since 54 x 3 = 162.
Therefore the answer is [C]. 162.
Poonam said:
10 years ago
Multiply first by 2 and add to original number and the multiplied answer:
2*2=4; 2+4=6.
6*2=12; 6+12=18.
18*2=36; 18+36=54.
54*2=128; 128 + 54=Answer.
2*2=4; 2+4=6.
6*2=12; 6+12=18.
18*2=36; 18+36=54.
54*2=128; 128 + 54=Answer.
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