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?
108
148
162
216
Answer: Option
Explanation:
This is a simple multiplication series. Each number is 3 times more than the previous number.
Discussion:
41 comments Page 2 of 5.

Prince Rambade said:   1 decade ago
Why not this can follow this rule.

02 + 4*(3^0) = 6.
06 + 4*(3^1) = 18.
18 + 4*(3^2) = 54.
54 + 4*(3^3) = 108 ?

This can also be possible. isn't it ?

Swapnil said:   1 decade ago
It can also be like this:

Series:- 2, 6, 18, 54..

2*1=2.

2*3=6 So 3+6=9.
2*9=18 So 9+18=27.
2*27=54 So 54+27=81.

2*81=162.

Ramkumar said:   1 decade ago
This series (2, 6, 18, 54, ...) followed with multiplied by 3.

(2)*3 = (6)*3 = (18)*3 = (54)*3 = (162).

So answer is: 162.

Sourav said:   1 decade ago
6-2=4*3^0
18-6=12=4*3^1
54-18=36=4*9=4*3^2
Then next difference will be 4*3^3

Then number will be 81+54=135

Jay said:   8 years ago
Why it cant be 108 by logic?

2 * 3 = 6
3 * 6 = 18
6 * 9 = 54
9 * 12 = 108.

Also, 108 is given in option.

Parikshit Das said:   3 years ago
According to me, the solution is;
2*3^0 = 2.
2*3^1 = 6.
2*3^2 = 18.
2*3^3 = 54.
2*3^4 = 162.
(20)

Varun said:   10 years ago
Very easy multiply with 3.

2*3 = 6.

6*3 = 18.

18*3= 54.

54*3 = 162.

So answer is 162.

Kiran said:   1 decade ago
Rule.
02 + 4*(3^0) = 6.
06 + 4*(3^1) = 18.
18 + 4*(3^2) = 54.
54 + 4*(3^3) = 108 ?

Sanjay said:   8 years ago
2 x 2 = 4+2 = 6.
6 x 2 = 12+6 = 18.
18 x 2 = 36+18 = 54.
54 x 2 = 108+54 = 162.

Mahesh Dalle said:   2 years ago
2+4 = 6
(4×3=12).

6+12 = 18
(12×3=36).

18+36 = 54.
(36×3=108)

54+108 = 162.
(9)


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