mads3499 mads3499
  • 01-02-2019
  • Mathematics
contestada

Find the sixth term of the following geometric sequence.

Find the sixth term of the following geometric sequence class=

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jimrgrant1 jimrgrant1
  • 01-02-2019

Answer:

[tex]a_{6}[/tex] = - [tex]\frac{7}{16}[/tex]

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

here a = 14 and r = [tex]\frac{-7}{14}[/tex] = - [tex]\frac{1}{2}[/tex], hence

[tex]a_{6}[/tex] = 14 × [tex](-1/2)^{5}[/tex] = 14 × - [tex]\frac{1}{32}[/tex] = - [tex]\frac{7}{16}[/tex]


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