jacobkovackp3noa8 jacobkovackp3noa8
  • 18-06-2020
  • Mathematics
contestada

What is the next term of the following sequence?


20, 10, 5, 21/2, ...

Respuesta :

jimrgrant1 jimrgrant1
  • 18-06-2020

Answer:

1 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Note there is a common ratio between consecutive terms, that is

10 ÷ 20 = 5 ÷ 10 = 2 [tex]\frac{1}{2}[/tex] ÷ 5 = [tex]\frac{1}{2}[/tex]

Thus to obtain the next term in the sequence multiply the previous term by [tex]\frac{1}{2}[/tex]

2 [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = 1 [tex]\frac{1}{4}[/tex]

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