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

Correct answer is Prashant Nigams Answer.
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

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

charan_Â¥

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

priyadharshini

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

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

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