estefanamiranda7 estefanamiranda7
  • 24-09-2020
  • Mathematics
contestada

Assume the Ziders continue to grow in the same pattern. How old would a Zider be that had 73 hairs?

Respuesta :

PhantomWisdom PhantomWisdom
  • 01-10-2020

Number of hairs in day 1 , a = 5.

Every day number of hairs increases by , d = 4.

So, it is an Arithmetic Progression with first term a = 5 and common difference d = 4.

So, number of hair in nth days is given by :

[tex]a_n=a+(n-1)d\\\\a_n=5+(n-1)4[/tex]

Let, after x days number of hairs are 73.

[tex]73=5+(x-1)4\\\\x-1=\dfrac{73-5}{4}\\\\x=18\ days[/tex]

Therefore, Zider is 18 days old.

Hence, this is the required solution.

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