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in exercises 5-8,find the indicated term of each sequence given.
5) an=(½)n a9=?

6)an=(n+1)² a14=?
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n-9
7)an=(-1)n+1(n-1)(n+2) a7=?
––––––––
n
8)an=(n_9-12)n a99=?



Sagot :

SEQUENCE

6. an = 1/2n

a9 = ?

We need to find a9:

  • a9 = (1/2)⁹ = 1/2⁹ = 1/512
  • a9 = 1/512

7. an=(-1)n+1(n-1)(n+2)

a7 = ?

a7 =

[tex] \frac{( - 1) {}^{7 + 1} (7 - 1)(7 + 2)}{7} [/tex]

[tex] \frac{( - 1) {}^{8}(6)(9) }{7} = \frac{1 \times 6 \times 9}{7} = \frac{54}{7} [/tex]

  • a7 = 54/7

8)an=(n_9-12)n a99=?

[tex](99 - 9 ) \times 99 = 90 \times 99 = 8910[/tex]