8/3*5+8/5*7+8/7*9+8/9*11…… +Simple calculation of 8 / 23 * 25

8/3*5+8/5*7+8/7*9+8/9*11…… +Simple calculation of 8 / 23 * 25

This is a column formula
1/k×（1/n-1/(n+k)）
Note: 8 × 1 / 2 (1 / 3-1 / 5) = 4 (1 / 3-1 / 5) = 8 / 3 * 5
Similarly, 4 (1 / 5-1 / 7) = 8 / 5 × 7
Got it?
The original formula is 4 (1 / 3-1 / 5) + 4 (1 / 5-1 / 7) + 4 (1 / 7-1 / 9). 4 (1 / 23-1 / 25)
=4(1/3-1/5+1/5-1/7+1/7..+1/23-1/25)
=4(1/3-1/25)
=88/75
I hope my detailed explanation is useful to you, do not understand, please ask, I wish you a happy o (∩)_ ∩)O~

Elden Ring Premiere

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