The 5th term in a geometric sequence is 40. the 7th term is 10. what is (are) the possible value(s) of the 4th term?

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possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

We can solve for a in the first equation as:

Now we can plug this into a of the 2nd equation:

Let's solve for a:

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:

possible values of 4th term is 80 & - 80

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .