What should be the next number in the series 1,8,243,256,?
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1,8,243,256,?
(24 votes, average: 3.79 out of 5) (24 votes, average: 3.79 out of 5) (24 votes, average: 3.79 out of 5) (24 votes, average: 3.79 out of 5)
(24 votes, average: 3.79 out of 5)
59049
3125..
okk baby
3^0 = 1
2^3 = 8
3^5 = 243
2^8 = 256
3^10 = 59049
125
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;
15625
59049
2048
59049?
Bhai explain kar
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.
625 . is it correct??