mariposa127 mariposa127
  • 03-08-2018
  • Mathematics
contestada

The nth term of a sequence is 4n-3. Is 75 a term of this sequence? Give a reason for your answer.

Thanks for your help :)

Respuesta :

konrad509
konrad509 konrad509
  • 03-08-2018

[tex] 4n-3=75\\
4n=78\\
n=19.5\\\\
19.5 \not \in \mathbb{N} \implies \text{it's not}[/tex]

Answer Link
agaue agaue
  • 03-08-2018

The nth term is given as 4n-3

If 75 a term of this sequence then 4n-3=75

Now we solve for n

To solve for n we add 3 both sides

4n-3+3=75+3

4n=78

To find n we divide by 4 both sides

78 is not divisible by 4 so n is not a whole number

n can not be a fraction

75 is not a term of the sequence

Answer Link

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