Compute \frac{1}{1 \times 4} + \frac{1}{4 \times 7} + \frac{1}{7 \times 10}
\(\frac{1}{1 \times 4} + \frac{1}{4 \times 7} + \frac{1}{7 \times 10}\) is basically:
1/3(1 - 1/4 + 1/4 -1/7 +1/7 - 1/10)
which is 1/3 \(\times\) 9/10 = 3/10