Find an equation for the nth term of a geometric sequence where the second and fifth terms are -24 and 1536, respectively.

an = 6 • (-4)n + 1

an = 6 • 4n

an = 6 • 4n - 1

an = 6 • (-4)n - 1

Step-by-step explanation:

For geometric sequence , the nth term is given by :-

                   (1)

, where a is the first term and r is the common ratio.

As per given , we have

Second term =

Fifth term :

Divide the fifth term by Second term , we get

Put value of r in second term , we get

Now, put values of a and r in (1), we get

Hence, the equation for the nth term of the geometric sequence:

21/58.

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the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: