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

step-by-step explanation:

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