To determine which number is divisible by 3, we use the divisibility rule for 3, which states that a number is divisible by 3 if the sum of its digits is divisible by 3.
Therefore, the correct option is 6987, as it is the only number that is divisible by 3 based on the divisibility rule.
Consider an A.P. $a_1,a_2,\ldots,a_n$; $a_1>0$. If $a_2-a_1=-\dfrac{3}{4}$, $a_n=\dfrac{1}{4}a_1$, and \[ \sum_{i=1}^{n} a_i=\frac{525}{2}, \] then $\sum_{i=1}^{17} a_i$ is equal to