LyricallyDamaged
Answered

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PLZ HELP!!! I'M BEGGING YOU!!! A hero is fighting with a dragon. At first, the dragon has three heads but each time the hero chops off a head the dragon grows three in its place. How many heads does the dragon have after n chops?

Sagot :

Answer:

n = 3x

Step-by-step explanation:

mhanifa

Answer:

  • h(n) = 3 + 2n

Step-by-step explanation:

  • Initial number of heads is 3
  • Each chopped head is replaced with 3 heads

Let the number of chops is n and h(n) is the number of heads.

After the first chop and consecutive chops the number of heads are:

  • h(1) = 3 - 1 + 3 = 3 + 2*1
  • h(2) = 3 + 2 - 1 + 3 = 3 + 2*2
  • h(3) = 3 + 2*2 -1 + 3 = 3 + 2*3
  • ...
  • h(n) = 3 + 2n
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