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Compute
\frac{1}{1 \times 4} + \frac{1}{4 \times 7} + \frac{1}{7 \times 10}

 Apr 11, 2024
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\(\frac{1}{1 \times 4} + \frac{1}{4 \times 7} + \frac{1}{7 \times 10}\) is basically:

1/3(1 - 1/4 + 1/4 -1/7 +1/7 - 1/10)

which is 1/3 \(\times\) 9/10 = 3/10

smileycoolsmiley

 Apr 12, 2024

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