Question 3
The expression below can be simplified to an integer. What is that integer?
$9700\times\left(\frac1{1\times4\times7}+\frac1{4\times7\times10}+\frac1{7\times10\times13}+\cdots+\frac1{94\times97\times100}\right)$
**Editorial note for this self-study exercise:** The first factors are 1, 4, 7, …, 94, increasing by 3. Enter the exact integer.
$9700\times\left(\frac1{1\times4\times7}+\frac1{4\times7\times10}+\frac1{7\times10\times13}+\cdots+\frac1{94\times97\times100}\right)$
**Editorial note for this self-study exercise:** The first factors are 1, 4, 7, …, 94, increasing by 3. Enter the exact integer.