Question 9
The expression below can be simplified to an integer. What is that integer?
$$9700\times\left(\frac{1}{1\times4\times7}+\frac{1}{4\times7\times10}+\frac{1}{7\times10\times13}+\cdots+\frac{1}{94\times97\times100}\right)$$
$$9700\times\left(\frac{1}{1\times4\times7}+\frac{1}{4\times7\times10}+\frac{1}{7\times10\times13}+\cdots+\frac{1}{94\times97\times100}\right)$$