# 2 4 16 512 .... what is the next term in the series?

This question is related to Infosys Interview

#### DIVUAL

• Dec 27th, 2005

well

the answer is  probably 2^ 19= 524288 .

#### Asheesh

• May 21st, 2006

65536...series is 2^1 2^2 2^4 2^9Looking at powers the series is1 2 4 9 i.e. diff of 1 (2-1) 2 (4-2) 5(9-4), so next power term will be 9+7=16..so the next term is 2^16 = 65536

#### bharathi

• Jan 5th, 2014

65536

#### amruta kurle

• Jun 3rd, 2014

262144

#### Akanksha

• Aug 17th, 2014

65536

#### yogesh sharma

• Aug 18th, 2014

524288

#### Prashant Nigam

• Sep 8th, 2014

2^21 = 2097152. Motzkin number

#### Rameshwar sontakke

• Sep 18th, 2014

2048

#### pallavi tijare

• Dec 20th, 2014

2048

#### Mukund Singh

• Jan 10th, 2015

Its a Motzkin number series. 1,2,4,9,21,51......etc
so answer is 2^21 = 2097152.

#### hema

• Jan 11th, 2015

I cant understand this..... please xplain how u got the answer 2048??

#### sagar

• Feb 16th, 2015

1048576

#### anand

• Feb 18th, 2015

1536

#### shaik khalander basha

• Apr 8th, 2015

1048576

#### KAVIPREET SALUJA

• Apr 10th, 2015

262144

#### subheesh anand

• Apr 28th, 2015

262144

#### hephzibah

• Jun 28th, 2015

hema, its simple.. this is the logic behind it.. 2 4 16 512
leave 2.... 4 is 2^2, 16 is 2^4, 512 is 2^6, so obviously the next answer should be 2^8 which is 2048.
Thanx

#### Shreya

• Oct 7th, 2015

Ans is 262144 as the next term is square of previous
and no way is 2^6=512, it is 64

#### Shreya

• Oct 7th, 2015

Leaving 2 and 4.
16:-4*4*(2^0)
512:-16*16*(2^1)
So 512*512*(2^2):-1048576

#### charan_¥

• Oct 14th, 2015

2^1=2
2^2=4
2^4=16
2^6=512
here initially power is odd then even even then odd so cycle is odd even even odd so next vl be even (1+1 = 2) initially now (9+1 = 10) so 2^10= 1024

#### R. Don Ruggles

• Mar 19th, 2016

65536

#### Hema

• Apr 2nd, 2016

262144

#### Bharat Kumar

• Apr 10th, 2016

2^16

#### kishore kumar

• Sep 21st, 2016

32768

#### yeshwanth

• Dec 9th, 2016

262144

• Jul 19th, 2017

The given series is 2,4,16,512
which is 2^1,2^2,2^4,2^8.
the powers are multiples of 2. Therefore the next digit is 2^16 65536  