A geometric sequence is defined as a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. In this case, we have two terms: 1250 and 50.
To find the common ratio (r) of the sequence, we can use the formula:
r = (Term2) / (Term1)
Plugging in our values, we get:
r = 50 / 1250 = 0.04
This common ratio (0.04) indicates that each term in the sequence is 0.04 times the previous term.
If we want to find the term before 1250 (let’s call it x), we can rearrange the formula for common ratio:
x * r = 1250
This can be rewritten as:
x = 1250 / r
Substituting the common ratio we found:
x = 1250 / 0.04 = 31250
Thus, the missing term in the geometric sequence, which comes before 1250, is 31250.
In conclusion, to summarize, the missing term that can complete the geometric sequence is 31250 when the sequence includes the terms 1250 and 50.