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Maths Puzzle
in a sequence of integers, A(n)=A(n-1)-A(n-2) where A(n) is the nth term in the sequence, n is an integer and n>=3, where s(1000)is the sum of the first 1000 terms
Read Solution (Total 3)
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- s(1000)=1
A(1)=1
A(2)=1
A(3)=0
A(4)=-1
A(5)=-1
A(6)=0
A(7)=1
so series is 1 1 0 -1 -1 0 1 1 0 -1 -1 0..........
so this series will repeat after every 6 terms.
sum of first 6 terms is 0.
1000 mod 6 = 4
last four terms will be 1 1 0 -1
whose sum is = 1
so s(1000) = 1 - 12 years agoHelpfull: Yes(1) No(0)
- let the amount of milk be 5xl litres and water be x litres. then 5x+x=66. so, x=11. so, there is 55 litres milk and 11 litres water. now let y litres of water be added. then 55/(11+x)=3/5. so, x=22. so, ans is 22 litres.
- 12 years agoHelpfull: Yes(0) No(1)
- that will be 3....
- 12 years agoHelpfull: Yes(0) No(2)
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