11. What is a possible value for the missing term of the geometric sequence?
37, ____, 925, … (1 point)
–185
–4,625
–925
481
It’s -185
Don’t ask me how I found the answer on a different site
37 r^2 = 925 ... r^2 = 25 ... r = ±5
37 r = ?
To find the missing term of the geometric sequence, we need to determine the common ratio.
The common ratio is found by dividing any term in the sequence by its previous term. Let's use the given terms to find the common ratio:
First term: 37
Second term: ?
Third term: 925
The common ratio is found by dividing the third term by the second term:
Common ratio = 925 ÷ ?
To determine the missing term, we can multiply the second and third terms by the common ratio.
37 × common ratio = second term
Second term × common ratio = third term
Let's calculate the common ratio:
Common ratio = 925 ÷ ?
Since 37 × common ratio = second term and second term × common ratio = third term, the second term (missing term) can be calculated as follows:
37 × common ratio = 37 × (925 ÷ ? )
To find the value of the missing term, we need to evaluate the expression:
37 × (925 ÷ ? )
Only by knowing the value of common ratio, which is not specified in the question, can we find the missing term of the geometric sequence. Therefore, without further information, we cannot determine a possible value for the missing term.