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1/(1*2) + 1/(2*3) + 1/(3*4) + ... n terms = ?

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Sequence and Series: 1/(1x2) + 1/(2x3) + 1/(3x4) + ... n terms
The value of 1/1*2+1/2*3+1/3*4....1/99*100
1/(1*2) + 1/(2*3) + 1/(3*4) + ... n terms = ?
1/1×2 +1/2×3 +1/3×4 +1/4×5 .........1/99×100 is equal to
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
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