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What is the 7th term for the sequence where nth term is an=
\frac{ {n}^{2} - 1 }{ {n}^{2} + 1 }
n
2
+1
n
2
−1


A.
[tex] \frac{24}{25} [/tex]


B.
[tex] \frac{23}{25} [/tex]
C.
[tex] \frac{47}{50} [/tex]

D.
[tex] \frac{49}{50} [/tex]




What Is The 7th Term For The Sequence Where Nth Term Is An Frac N2 1 N2 1 N 2 1n 2 1 A Tex Frac2425 TexB Tex Frac2325 TexC Tex Frac4750 TexD Tex Frac4950 Tex class=

Sagot :

Answer:

B po Mery Christmas ⛄

ANSWER:

A. 24/25

SOLUTION:

[tex]a_{n}=\frac{n^2\:-\:1}{n^2\:+\:1}[/tex]

[tex]a_{7}=\frac{7^2\:-\:1}{7^2\:+\:1}[/tex]

[tex]a_{7} =\frac{49\:-\:1}{49\:+\:1}[/tex]

[tex]a_{7} =\frac{48}{50} =\frac{48\:\div\:2}{50\:\div\:2}[/tex]

[tex]a_{7} =\frac{24}{25}[/tex]