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Maths Puzzle
A person has 2 parents, 4 grandparents, 8 great grandparents, and so on.Find the number of his ancestors during the ten generations preceding his own.
Read Solution (Total 4)
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- 2+4+8+16+32+64+128+256+512+1024=2046 is the number of his ancestors during the ten generations preceding his own.
- 12 years agoHelpfull: Yes(6) No(0)
- the generation as it goes back is on GP.the initial difference is 2 so 2^10=1024
- 12 years agoHelpfull: Yes(2) No(2)
- a person means he is the 1st generation
so the series is 1,2,4,8....
2^0,2^1,2^2,2^3,...
so, the 10th generatyion has 2^9
hence the answer is 512 - 12 years agoHelpfull: Yes(0) No(2)
- Here we can use Sn method,
That is,
Given: a=2 , r=2 and n=10
Sol:
Using Sn = a (r^n - 1)÷r-1
So,
S10 = 2 (2^10 - 1) = 2046
Hence, no. of ancestors preceding is 2046 - 8 years agoHelpfull: Yes(0) No(0)
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