1 of 2 * 3 + 1 of 3 * 4 + 1 of 4 * 5 + 1 of 49 * 50 Simple mathematical problems

1 of 2 * 3 + 1 of 3 * 4 + 1 of 4 * 5 + 1 of 49 * 50 Simple mathematical problems


1/（2*3）=1/2-1/3
1/（4*5）=1/4-1/5
Original formula = 1 / 2-1 / 3 + 1 / 3-1 / 4 + 1 / 4.. - 1 / 49 + 1 / 49-1 / 50
=1/2-1/50=12/25



1 × 2 / 1 + 2 × 3 / 1 + 3 × 4 / 1 +... + 49 × 50 / 1


Solution
1/(1×2)+1/(2×3)+…… +1/(49×50)
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+…… +(1/49-1/50)
=1+(1/2-1/2)+(1/3-1/3)+…… +(1/49-1/49)-1/50
=1-1/50
=49/50
Cleft term
1/n(n+1)=1/n-1/(n+1)

Elden Ring Premiere

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