Next number of the sequence 2,8,24,64,160,......

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16 Dec 2013 Sequence Next number of the sequence 2,8,24,64,160,......: OPtion
1) 200
2) 246
3) 264
4) 298
5) 302
6) 342
7) 368
8) 384
9) 446
10) none; Correct Option: 8 Best Solution (62)

Akanksha Mishra 11 years AGO

Look upon the series carefully
2,8,24,64,160,......

8 - 2 = 6
6 * 4 = 24

24 - 8 = 16
16 * 4 = 64

64 - 24 = 40
40 * 4 = 160

now last two number
160 - 64 = 96
96 * 4 = 384
so Next number of the sequence is 384

Another Method can be
Given series
2,8,24,64,160,.....
2 = 2
2 * 2 * 2 = 8
2 * 2 * 2 * 3 = 24
2 * 2 * 2 * 2 * 4 = 64
2 * 2 * 2 * 2 * 2 * 5 = 160
2 * 2 * 2 * 2 * 2 * 2 * 6 = 384
So answer will be option 8

I hope my solution will easy to understand !!

Like? Yes (53) | No (7)

priya sen 11 years AGO

2*1=2
4*2=8
8*3=24
16*4=64
32*5=160
64*6=384

Like? Yes (8) | No (1)

Yelda Ramesh 11 years AGO

2^1*1=2
2^2*2=8
2^3*3=24
2^4*4=64
2^5*5=160
so answer is 2^6*6=384

Like? Yes (4) | No

eeranna 11 years AGO

2*4=8
3*8=24
4*16=64
5*32=160
so, increase the first number by one and double the second number then multiply the two numbers to get the answer
6*64=384

Like? Yes (2) | No

Manikanta Sajj 11 years AGO

follows rule 2pow(n)*n

Like? Yes (2) | No

Aditya Verma 11 years AGO

1*2^1 = 2
2*2^2 = 8
3*2^3 = 24
4*2^4 = 64
5*2^5 = 160
6*2^6 = 384

Like? Yes (2) | No

LOGAN WOLVERINE 11 years AGO

(2-0)*4=8
(8-2)*4=24
(24-8)*4=64
(64-24)*4=160
(160-64)*4=384
option 8

Like? Yes (1) | No

Naveen 11 years AGO

The difference between two numbers in the sequence are multiplied 4
i.e. 2*4=8
6*4=24
16*4=64
40*4=160
96*4=384

Like? Yes (1) | No

giridhar 11 years AGO

2-8=6
=>6*4=24....
160-64=96
=>96*4=384

Like? Yes (1) | No

SHRISH SHUKLA 11 years AGO

2^1*1, 2^2*2, 2^3*3, .........,2^6*6=384

Like? Yes (1) | No

siddagalla bhaskar 11 years AGO

Formula (2^n)*n
where n is from n=1,2,....
(2^1)*1=2
(2^2)*2=8
(2^3)*3=24
(2^4)*4=64
(2^5)*5=160
.....

(2^6)*6=384

Like? Yes (3) | No (3)

Advitiya Arora 11 years AGO

Given series
2,8,24,64,160,.....
2 = 2
2 * 2 * 2 = 8
2 * 2 * 2 * 3 = 24
2 * 2 * 2 * 2 * 4 = 64
2 * 2 * 2 * 2 * 2 * 5 = 160
2 * 2 * 2 * 2 * 2 * 2 * 6 = 384
So answer will be option 8

Like? Yes (3) | No (3)

Pargat Pal Singh 11 years AGO

4*(160-64)=4*96= 384

Like? Yes (2) | No (2)

Abirudh reddy 11 years AGO

2^6*2^6*2^6*2^6*2^6*2^6=384

Like? Yes (2) | No (2)

sharath 11 years AGO

2^6*2^6*2^6*2^6*2^6*2^6=384

Like? Yes (2) | No (2)

Ruby 11 years AGO

The next number is 384
2, 8, 24, 64, 160..
Take the difference between the last two numbers and multiply by 4.
(8-2) * 4 = 24;
(24-8) * 4 = 64;
(64-24) * 4 = 160;
(160-64) * 4 = 384

Like? Yes (1) | No (1)

Bhargava Sai Kumar 11 years AGO

difference between numbers 6, 16, 40, 96, x
it is following a sequence as 2*3, 4*4, 8*5, 16*6,..
so x would be 32*7
adding x to 160 results in 384...so option 8 is right answer..

Like? Yes (2) | No (3)

Abhijeet Kumar 11 years AGO

(0*2)+2=2
(2*2)+4=8
(8*2)+8=24
(24*2)+16=64
(64*2)+32=128+32=160
(160*2)+64=320+64=384.
hence, the ans is option 8.

Like? Yes (2) | No (3)

Shubham Saxena 11 years AGO

2*4+0=8
2*8+8=24
2*24+16=64
2*64+32=160
Similarly
2*160+64=384 Ans

Like? Yes (2) | No (3)

A.Sivapriya 11 years AGO

Given the Sequence is 2,8,24,64,160,....
Apply 2^n X n where n is a natural number
at n=1 we get 2^1 X 1=2
at n=2 we get 2^2 X 2=8
at n=3 we get 2^3 x 3=24 and soo on.
like that
at n=6 we get 2^6 x 6=384.
So, the answer is 384.

Like? Yes (2) | No (3)

Shubham Saxena 11 years AGO

2*4+0=8
2*8+8=24
2*24+16=64
2*64+32=160
Similarly
2*160+64=384 Ans

Like? Yes (2) | No (3)

Prabhat Yadav 11 years AGO

(2^6)*6=384

Like? Yes (1) | No (2)

Sandeep Negi 11 years AGO

general term : n (2^n)

Like? Yes (2) | No (3)

Udhaya kumar 11 years AGO

2^1 * 1 = 2
2^2 * 2 = 8
2^3 * 3 = 24
2^4 * 4 = 64
2^5 * 5 = 160
similarly
2^6 * 6 = 384............

Like? Yes (2) | No (3)

sujata 11 years AGO

answer is 384
2*4=8
(8-2)*4 = 6*4 = 24
(24-8)*4 = 16*4 = 64
(64-24)*4 = 40*4 = 160
(160-64)*4 = 96*4 = 384

Like? Yes (1) | No (2)

Aarush Singh 11 years AGO

2*1 = 2
4*2 = 8
8*3 = 24
16*4 = 64
32*5 = 160
so 64*6 = 384
Answer = 384

Like? Yes (1) | No (2)

Kuldeep yadav 11 years AGO

2*1=2
(2^2)*2=8
(2^3)*3=24
(2^4)*4=64
(2^5)*5=160
(2^6)*6=384

Like? Yes (2) | No (3)

Ramu Devanaboina 11 years AGO

2^1*1,2^1*2,........2^6*6.
formula=2^n*n.

Like? Yes (1) | No (2)

Mariselvam 11 years AGO

To take 2*2+4=8
8*2+8=24
24*2+16=64
64*2+32=160
160*2+64=384

Like? Yes (1) | No (2)

pradeep verma 11 years AGO

(2+2)*2=8
(8+4)*2=24
(24+8)*2=64
(64+16)*2=160
(160+32)*2=384

Like? Yes (1) | No (2)

vishal shanker polowalia 11 years AGO

2*2+4=8
8*2+8=24
24*2+16=64
64*2+32=160
160*2+64=384

Like? Yes (1) | No (2)

Narendra 11 years AGO

2х2+4=8
8х2+8=24
24х2+16=64
64х2+32=160
160х2+64=384

Like? Yes (1) | No (2)

Sneha 11 years AGO

2 8 24 64 160 ?
1*2 2*4 3*8 4*16 5*32 6*64=384

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madhuri 11 years AGO

1*2= 2
2*2^2=8
3*2^3=24
3*2^4=64
5*2^5=160
6*2^6=384

Like? Yes (1) | No (2)

Anantharaman 11 years AGO

2,8,16,64,160

The Formula is 2^n * n

so n=1=> 2^1*1 = 2
n=2=> 2^2*2 = 8
n=3=> 2^3*3 = 24
n=4=> 2^4*4 = 64
n=5=> 2^5*5 = 160

So n=6=> 2^6*6 = 384

Answer: Option 8

Like? Yes (1) | No (2)

sandy 11 years AGO

160-64=96
96*4=384

Like? Yes (1) | No (2)

Satyendra Singh 11 years AGO

2
2*2+4=8
8*2+8=24
24*2+16=64
64*2+32= 160
160*2+64=384

Like? Yes (1) | No (2)

akash 11 years AGO

Diffrence between two number than multiply tha number with 4. Here 160-64=96, 96*4=384.

Like? Yes (1) | No (2)

thol 11 years AGO

the difference between each number is multiplied by 4

Like? Yes (1) | No (2)

chandana 11 years AGO

the numbers in the series are of the form
1*2^1=2
2*2^2=8
3*2^3=24
4*2^4=64
5*2^5=160
6*2^6=384(option 8)
so the answer is 384

Like? Yes (1) | No (2)

SAURAV KUMAR PANDA 11 years AGO

2^1x1=2
2^2x2=8
2^3x3=24
2^4x4=64
2^5x5=160
2^6x6=384

Like? Yes (1) | No (2)

pranitha karnati 11 years AGO

2= (2)*1, --> 1 multiplied by one 2
8= (2*2)*2 --> 2 multiplied by two 2's
24= (2*2*2)*3 --> 3 multiplied by three 2's
64= (2*2*2*2)*4 --> 4 multiplied by four 2's
160= (2*2*2*2*2)*5 --> 5 multiplied by five 2's

so answer is (2*2*2*2*2*2)*6 = 384 --> 6 multiplied by six 2's

Like? Yes (2) | No (3)

B.Rajesh 11 years AGO

(2^n)*n where n 1 to n

Like? Yes (2) | No (4)

R.RAVIKUMAR 11 years AGO

the sequence is
8=2*2+4
24=2*8+8
64=2*24+16
160=2*64+32
so, 2*160+64=384

Like? Yes (4) | No (6)

P Niranjan 11 years AGO

from the given series
nth number is (2^n)*n
Note:n starts with 1.(i.e,n=1,2,3,4...)
so for the 6th number
(2^6)*6=384

Like? Yes (1) | No (3)

Devendra Marghade 11 years AGO

2*2+2^2=8
8*2+2^3=24
24*2+2^4=64
64*2+2^5=160
160*2+2^6=384

Like? Yes (1) | No (3)

K.ARun 11 years AGO

Let us assume that X is previous number.
thus, the sequence follows. (X*2)+(a,ar,ar^2,ar^3...)
here a=4,r=2;
so
2*2 + 4;=>8
8*2 + 4(2);=>24
24*2 + 4((2)^2);=>64
64*2 + 4((2)^3);=>160
160*2+ 4((2)^4);=>384

Like? Yes (1) | No (3)

AMIT JAISWAL 11 years AGO

2*2+4=4+4=8,
8*2+8=16+8=24,
24*2+16=48+16=64,
64*2+32=128+32=160,
160*2+64=320+64=384
therefore answer will be 384.

Like? Yes (1) | No (3)

amit bhagat 11 years AGO

since the first no in the sequence 2 = 1*2^1
8 = 2*2^2
24 = 3*2^3
32 = 4*2^4
160 = 5*2^5

so next no will be 384 = 6*2^6

Like? Yes (1) | No (3)

Ankit Goyal 11 years AGO

1 * 2 = 2
2 * 4 = 8
4 * 6 = 24
8 * 8 = 64
16 * 10 = 160

The first multiplier is doubled every time starting from 1 and the second multiplier is even numbers starting from 2

so the next number in the series is

(16 * 2) * (10 + 2) = 32 * 12 = 384

Like? Yes (1) | No (3)

Pratiksha Gupta 11 years AGO

2*4+0=8
2*8+8=24
2*24+16=64
2*64+32=160
Similarly
2*160+64=384 Ans

Like? Yes (2) | No (4)

D.Mamatha 11 years AGO

use the term nX2^n
n=1,2,3,......
substitute n=1 the solution will be 1x2^1 = 2
n=2 the solution will be 2X2^2 = 8
n=3 the solution will be 3X2^3 = 24
like wise substitute n=6 6X2^6=6X64=384.
So, the answer is 384.Option is 8.

Like? Yes (2) | No (4)

Jigyasa Kumar 11 years AGO

Answer = 384
2*1 = 2
4*2 = 8
8*3 = 24
16*4 = 64
32*5 = 160
so 64*6 =384

Like? Yes (1) | No (3)

Dinesh thatti 11 years AGO

sequence follows as multiply number with 2

and to the obtained result add 4,8,16,34,64 to get
answer

2*2=4+4=8

8*2=16+8=24

24*2=48+16=64

64*2=128+32=160

160*2=320+64=384

Like? Yes (1) | No (3)

YUVAN SATHAIAH 11 years AGO