Which formula can be used to find the ninth term of a geometric sequence where the first term is 8 and the common ratio is -3

1 answer:

3 0

For a geometric sequence with a first term of "a" and a common ratio of "r", the n-th term is
.. an = a*r^(n-1)

For this problem, you have a = 8, r = -3, and n = 9. Filling these values into the formula gives
.. a9 = 8*(-3)^(9-1)
.. a9 = 8*(-3)^8

_____
a9 = 52,488

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The number line is shown below. Which decimal is shown on the number line by point M?

Snezhnost [94]

Answer:

The number associated with point M is 5.64

Step-by-step explanation:

notice that there are 10 divisions marked with ticks in between 5.6 and 5.7. So that means that the difference between these two numbers : 5.7 - 5.6 = 0.1

has been subdivided into 10: 0.1/10 = 0.01

Therefore we can assign a real number to each of the ticks by adding successively increments 0.01 (starting from the left "5.6"), and learn which number corresponds to the point M.

Please see the attached image that illustrates this, and shows in red the number assigned to the tick where point M is located: 5.64