Q.20. If the mean of first n natural number is 15, then find n.
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Answered by
3
Answer:
29
Step-by-step explanation:
The first n natural numbers are 1,2,3,...,n
Given that mean of n natural numbers is 15
⟹n1+2+3+...+n=15 ———(1)
We know that sum of first n natural numbers is 2n(n+1)
⟹1+2+3+...+n=2n(n+1) ———(2)
Substituting (2) in (1) we get
⟹2nn(n+1)=15
⟹n+1=30⟹n=30−1=29
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