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The pattern of the spread of the virus will be 1,2,4,8 identify the next three numbers in this pattern

Respuesta :

jcherry99

Answer:

16 32 64

Step-by-step explanation:

Remark

Though it is easy just to add the next three numbers, it would be a good idea to develop some sort of formula. It is what you always want to do if you are representing a sequence. Then you don't have to struggle to find the 100 term of the given sequence. The only way to explain this is to say it is a geometric sequence.

Givens

  • t1  = 1
  • t2 = 2
  • t3 = 4
  • t4 = 8

Solution

r = t4/t3 = 8/4

r = 2

a = 1

Formula

  • tn= a*r^(n - 1)
  • t5 = 1*2^(5 - 1)
  • t5 = 2^4
  • t5 = 16

Answer

By similar methods the next 2 items will be 32 and 64.

Note

  • t_100 = 1 * r^(100 - 1)
  • t_100 = 2 ^99 = 633825300114114700748351602688
  • A formula is the only way to go when the numbers are this big.

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