24lovemaka
24lovemaka 24lovemaka
  • 11-09-2021
  • Mathematics
contestada

find the first 5 terms of a geometric sequence that starts with -20 and has a growth factor of 0.5

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hhelsinki
hhelsinki hhelsinki
  • 11-09-2021

Answer:

5th of this geomatic sequence are -20, -10, -5, -2.5 and -1.25

Step-by-step explanation:

I. Given geo sequence = output = a [tex]r^{n-1}[/tex], when a is 1st term, r is growth factor and n is term.

Find 1st value, 2nd , 3rd, 4th and 5th

1st term = -20

2nd term = -20 ([tex]0.5^{2-1}[/tex])

               = -20(0.5)

2nd term = -10

3rd term = -20(0.5)^2 = -5

4th term = -20(0.5)^3 = -2.5

5th term = -20(0.5)^4 = -1.25

You can find any value with this solution, just replace x term in n value.

Hope that help :)

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