59049 is the answer
odd place with base 3 and even places with 2,
and power will sum of base and exponent .at first case take 3^0.i,e last term is 3^10;

It’s an alternating series of powers of 3 and 2. Current term in this series is defined as :
if index is odd, base is 3, else the base is 2, whereas the exponent is sum of base and exponent of previous term.

For the given case :

1st term : 1 = 3 ^ 0, base = 3 and exponent = 0.

2nd term : 8 = 2 ^ 3 base = 2 and exponent = 3(previous base) + 0(previous exponent) = 3.

3rd term : 243 = 3 ^ 5 base = 3 and exponent = 2(previous base) + 3(previous exponent) = 5.

4th term : 256 = 2 ^ 8 base = 2 and exponent = 3(previous base) + 5(previous exponent) = 8.

5th term : 59049 = 3 ^ 10 base = 3 and exponent = 2(previous base) + 8(previous exponent) = 10.

GANGOTREE says

59049

Khushee says

3125..

sffsf says

okk baby

Kristopher Brewer says

3^0 = 1

2^3 = 8

3^5 = 243

2^8 = 256

3^10 = 59049

Fivebee says

125

suresh jadav says

59049 is the answer

odd place with base 3 and even places with 2,

and power will sum of base and exponent .at first case take 3^0.i,e last term is 3^10;

Anjani says

15625

ravi teja says

59049

natwar says

2048

Mukul Rawal says

59049?

Alöne Rathore says

Bhai explain kar

Mukul Rawal says

It’s an alternating series of powers of 3 and 2. Current term in this series is defined as :

if index is odd, base is 3, else the base is 2, whereas the exponent is sum of base and exponent of previous term.

For the given case :

1st term : 1 = 3 ^ 0, base = 3 and exponent = 0.

2nd term : 8 = 2 ^ 3 base = 2 and exponent = 3(previous base) + 0(previous exponent) = 3.

3rd term : 243 = 3 ^ 5 base = 3 and exponent = 2(previous base) + 3(previous exponent) = 5.

4th term : 256 = 2 ^ 8 base = 2 and exponent = 3(previous base) + 5(previous exponent) = 8.

5th term : 59049 = 3 ^ 10 base = 3 and exponent = 2(previous base) + 8(previous exponent) = 10.

ananomyous says

625 . is it correct??