Final answer:
The 734th term of the sequence is a734 = p * s^733.
Step-by-step explanation:
To find the 734th term of the geometric sequence, we need to determine the common ratio first. Since the 1st term is p and the 2nd term is sp, the common ratio can be found by dividing the 2nd term by the 1st term: r = (sp) / p = s. Therefore, the common ratio is s.
Now we can use the formula for the nth term of a geometric sequence: an = a1 * r^(n-1). Substituting the values, we get: a734 = p * s^(734-1).
So, the 734th term of the sequence is a734 = p * s^733.