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Please provide me the proof for point to consider 1st formula

Please provide me the proof for point to consider 1st formula

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Grade:12th Pass

1 Answers

Aditya Gupta
2081 Points
5 years ago
we see that f(1)+f(2)+....+f(n)+f(n+1)+....+f(n+k)= f(1)+f(2)+....+f(k)+f(k+1)+...+f(n+k)
rearranging, f(n+1)+....+f(n+k) – [f(1)+f(2)+....+f(k)]= f(k+1)+...+f(n+k) – [f(1)+f(2)+....+f(n)]
or, ∑f(n+m) – ∑f(m) = ∑f(k+r) – f(r)
hence proved

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