A number theory problem by Aritra Chakraborty
Number Theory
Level
2
CONSIDER THE SEQUENCE 1,2,2,3,3,3,4,4,4,4.... THEN THE 5000th TERM OF THE SEQUENCE IS
102
98
97
101
99
5000
100
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1 solution
We can see that the number N is N times in the sequence. If i do the sum of the number of numbers . We get Tn=1+2+3+.......+N . So Tn=N(N+1)/2
According to the question The relation is <or=5000. Solving this we getN<100. So the 5000th term is 100